﻿34:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tanto las ecuaciones como las inecuaciones son herramientas matemáticas que se :@0.287490:0.150300:0.907615:0.150300:0.907615:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizan en diversos contextos de la vida cotidiana, desde realizar cálculos simples :@0.287490:0.166897:0.907597:0.166897:0.907597:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta resolver problemas más complejos en diferentes áreas como finanzas, ciencia :@0.287490:0.183493:0.907691:0.183493:0.907691:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y tecnología. Una ecuación es una igualdad entre dos expresiones que contiene una :@0.287490:0.200089:0.907689:0.200089:0.907689:0.183700:0.287490:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o más variables. En cambio, una inecuación es una desigualdad entre dos expresiones :@0.287490:0.216686:0.907755:0.216686:0.907755:0.200297:0.287490:0.200297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas  de  una o varias  incógnitas, que  se verifica para  ciertos valores  de las :@0.287490:0.233282:0.907726:0.233282:0.907726:0.216893:0.287490:0.216893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas; se expresa con los signos >, <, ≥ y ≤.:@0.287490:0.249879:0.636875:0.249879:0.636875:0.233490:0.287490:0.233490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones de primer grado:@0.287495:0.289766:0.569283:0.289766:0.569283:0.268256:0.287495:0.268256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un salón de clases, la cuarta parte son niñas y los niños exceden a la mitad en tres. :@0.287495:0.319675:0.907788:0.319675:0.907788:0.303286:0.287495:0.303286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuántos estudiantes tiene el salón de clases? :@0.287495:0.336271:0.626359:0.336271:0.626359:0.319883:0.287495:0.319883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Traducimos del lenguaje cotidiano al lenguaje matemático: la variable   representa :@0.287495:0.359990:0.907751:0.359990:0.907751:0.343602:0.287495:0.343602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.812886:0.359990:0.820349:0.359990:0.820349:0.344597:0.812886:0.344597:0.000000
el número de estudiantes en el salón de clases.:@0.287495:0.376587:0.630740:0.376587:0.630740:0.360198:0.287495:0.360198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La cuarta parte: —.   La mitad excedida en 3: — + 3.:@0.287495:0.405381:0.665502:0.405381:0.665502:0.388993:0.287495:0.388993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.409837:0.396862:0.417300:0.396862:0.417300:0.381469:0.409837:0.381469:0.000000
4:@0.409063:0.413624:0.418055:0.413624:0.418055:0.397235:0.409063:0.397235:0.000000
x:@0.621036:0.396862:0.628499:0.396862:0.628499:0.381469:0.621036:0.381469:0.000000
2:@0.620262:0.413624:0.629254:0.413624:0.629254:0.397235:0.620262:0.397235:0.000000
Entonces, la ecuación buscada es:  :@0.287477:0.437910:0.542608:0.437910:0.542608:0.421521:0.287477:0.421521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545703:0.429668:0.553167:0.429668:0.553167:0.414274:0.545703:0.414274:0.000000
4:@0.544966:0.449002:0.553959:0.449002:0.553959:0.433333:0.544966:0.433333:0.000000
+:@0.558236:0.439226:0.568353:0.439226:0.568353:0.423653:0.558236:0.423653:0.000000
x:@0.583261:0.429669:0.590724:0.429669:0.590724:0.414276:0.583261:0.414276:0.000000
2:@0.582524:0.449004:0.591516:0.449004:0.591516:0.433334:0.582524:0.433334:0.000000
+:@0.595771:0.439226:0.605888:0.439226:0.605888:0.423653:0.595771:0.423653:0.000000
3:@0.608339:0.438548:0.617332:0.438548:0.617332:0.422878:0.608339:0.422878:0.000000
=:@0.629224:0.439226:0.639341:0.439226:0.639341:0.423653:0.629224:0.423653:0.000000
x:@0.643985:0.438548:0.651448:0.438548:0.651448:0.423155:0.643985:0.423155:0.000000
.:@0.651512:0.437907:0.654718:0.437907:0.654718:0.421518:0.651512:0.421518:0.000000
Definición de ecuación lineal:@0.296992:0.497274:0.525679:0.497274:0.525679:0.480373:0.296992:0.480373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Es una expresión de la forma   +  =  , donde  , :@0.525679:0.497274:0.894026:0.497274:0.894026:0.480885:0.525679:0.480885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.746512:0.497274:0.763245:0.497274:0.763245:0.481881:0.746512:0.481881:0.000000:0.000000
b  c:@0.782299:0.497274:0.817569:0.497274:0.817569:0.481881:0.782299:0.481881:0.000000:0.000000:0.000000:0.000000
a:@0.877515:0.497274:0.886784:0.497274:0.886784:0.481881:0.877515:0.481881:0.000000
b c:@0.296992:0.513870:0.330107:0.513870:0.330107:0.498477:0.296992:0.498477:0.000000:0.000000:0.000000
 y   son números reales con a ≠ 0 y el grado de la incógnita  es 1. :@0.306261:0.513870:0.789268:0.513870:0.789268:0.497481:0.306261:0.497481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.741688:0.513870:0.749151:0.513870:0.749151:0.498477:0.741688:0.498477:0.000000
Resolverla significa encontrar el valor de la variable que satisface la igualdad.:@0.296992:0.530467:0.854294:0.530467:0.854294:0.514078:0.296992:0.514078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, resolveremos la ecuación planteada anteriormente.:@0.287502:0.579039:0.782682:0.579039:0.782682:0.562650:0.287502:0.562650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.313885:0.606751:0.320670:0.606751:0.320670:0.592757:0.313885:0.592757:0.000000
 + 2  + 12:@0.320503:0.606751:0.384949:0.606751:0.384949:0.591852:0.320503:0.591852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.345330:0.606751:0.352114:0.606751:0.352114:0.592757:0.345330:0.592757:0.000000
4:@0.345330:0.621838:0.353505:0.621838:0.353505:0.606939:0.345330:0.606939:0.000000
= :@0.392704:0.615080:0.407722:0.615080:0.407722:0.598692:0.392704:0.598692:0.000000:0.000000
x:@0.407722:0.615080:0.415186:0.615080:0.415186:0.599687:0.407722:0.599687:0.000000
Primero destruimos el paréntesis y sumamos las fracciones :@0.445573:0.606782:0.878674:0.606782:0.878674:0.590393:0.445573:0.590393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la izquierda.:@0.445573:0.623379:0.555400:0.623379:0.555400:0.606990:0.445573:0.606990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.307568:0.652104:0.315031:0.652104:0.315031:0.636711:0.307568:0.636711:0.000000
 + 2  + 12 = 4:@0.315031:0.652104:0.415628:0.652104:0.415628:0.635715:0.315031:0.635715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.343078:0.652104:0.350541:0.652104:0.350541:0.636711:0.343078:0.636711:0.000000
x:@0.415628:0.652104:0.423091:0.652104:0.423091:0.636711:0.415628:0.636711:0.000000
Eliminamos el denominador, aplicando la propiedad del :@0.445573:0.643806:0.859691:0.643806:0.859691:0.627417:0.445573:0.627417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inverso multiplicativo.:@0.445573:0.660402:0.605670:0.660402:0.605670:0.644013:0.445573:0.644013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.303846:0.689128:0.311309:0.689128:0.311309:0.673735:0.303846:0.673735:0.000000
 + 2  – 4  = –12 :@0.311309:0.689128:0.430849:0.689128:0.430849:0.672739:0.311309:0.672739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.339356:0.689128:0.346819:0.689128:0.346819:0.673735:0.339356:0.673735:0.000000
x:@0.373097:0.689128:0.380560:0.689128:0.380560:0.673735:0.373097:0.673735:0.000000
Transponemos los términos agrupando las variables en la :@0.445573:0.680830:0.869274:0.680830:0.869274:0.664441:0.445573:0.664441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
izquierda, y las constantes (números) en la derecha.:@0.445573:0.697426:0.820957:0.697426:0.820957:0.681037:0.445573:0.681037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 –  = –12:@0.329829:0.717853:0.396795:0.717853:0.396795:0.701465:0.329829:0.701465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.343078:0.717853:0.350541:0.717853:0.350541:0.702460:0.343078:0.702460:0.000000
x:@0.341051:0.738018:0.348514:0.738018:0.348514:0.722625:0.341051:0.722625:0.000000
 = 12:@0.348514:0.738018:0.385554:0.738018:0.385554:0.721629:0.348514:0.721629:0.000000:0.000000:0.000000:0.000000:0.000000
Reducimos términos semejantes y despejamos :@0.445573:0.719638:0.793870:0.719638:0.793870:0.703249:0.445573:0.703249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.793870:0.719638:0.801333:0.719638:0.801333:0.704244:0.793870:0.704244:0.000000
multiplicando a la ecuación por –1. :@0.445573:0.736234:0.706858:0.736234:0.706858:0.719845:0.445573:0.719845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respondemos: el salón de clases tiene 12 estudiantes.:@0.287500:0.765499:0.681640:0.765499:0.681640:0.749110:0.287500:0.749110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de las ecuaciones:@0.287494:0.805388:0.595530:0.805388:0.595530:0.783878:0.287494:0.783878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.369048:0.840162:0.444182:0.840162:0.444182:0.824798:0.369048:0.824798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado:@0.676019:0.840162:0.752845:0.840162:0.752845:0.824798:0.676019:0.824798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   =  , entonces   ±   =   ±  .:@0.294449:0.869294:0.501408:0.869294:0.501408:0.854395:0.294449:0.854395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.309392:0.869294:0.317819:0.869294:0.317819:0.855300:0.309392:0.855300:0.000000
b:@0.335141:0.869294:0.343567:0.869294:0.343567:0.855300:0.335141:0.855300:0.000000
a:@0.415737:0.869294:0.424163:0.869294:0.424163:0.855300:0.415737:0.855300:0.000000
c:@0.441485:0.869294:0.448454:0.869294:0.448454:0.855300:0.441485:0.855300:0.000000
b:@0.465776:0.869294:0.474203:0.869294:0.474203:0.855300:0.465776:0.855300:0.000000
c:@0.491525:0.869294:0.498494:0.869294:0.498494:0.855300:0.491525:0.855300:0.000000
Una igualdad no cambia si se le suma o se le resta un :@0.532183:0.861750:0.889506:0.861750:0.889506:0.846851:0.532183:0.846851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo número a cada miembro.:@0.532183:0.876838:0.750346:0.876838:0.750346:0.861939:0.532183:0.861939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   =   y   ≠ 0, entonces   =  .:@0.294449:0.903870:0.513938:0.903870:0.513938:0.888971:0.294449:0.888971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.309392:0.903870:0.317819:0.903870:0.317819:0.889876:0.309392:0.889876:0.000000
b c:@0.335141:0.903870:0.365245:0.903870:0.365245:0.889876:0.335141:0.889876:0.000000:0.000000:0.000000
ac:@0.462910:0.903870:0.478305:0.903870:0.478305:0.889876:0.462910:0.889876:0.000000:0.000000
bc:@0.495627:0.903870:0.511023:0.903870:0.511023:0.889876:0.495627:0.889876:0.000000:0.000000
Una igualdad se mantiene si se multiplica o divide por :@0.532183:0.896326:0.896313:0.896326:0.896313:0.881427:0.532183:0.881427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un mismo número distinto de cero en cada miembro.:@0.532183:0.911414:0.889406:0.911414:0.889406:0.896515:0.532183:0.896515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones e inecuaciones:@0.286308:0.063945:0.744211:0.063945:0.744211:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de primer grado en :@0.286308:0.094120:0.628539:0.094120:0.628539:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.628539:0.095388:0.657568:0.095388:0.657568:0.056975:0.628539:0.056975:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
La igualdad como :@0.125213:0.191205:0.248846:0.191205:0.248846:0.176306:0.125213:0.176306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciudadanos implica que :@0.085694:0.206293:0.248846:0.206293:0.248846:0.191394:0.085694:0.191394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos seamos tratados de :@0.073030:0.221381:0.248846:0.221381:0.248846:0.206482:0.073030:0.206482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera idéntica por las :@0.089212:0.236468:0.248846:0.236468:0.248846:0.221569:0.089212:0.221569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
instituciones y que :@0.119651:0.251556:0.248846:0.251556:0.248846:0.236657:0.119651:0.236657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estamos sujetos a las :@0.106032:0.266643:0.248844:0.266643:0.248844:0.251744:0.106032:0.251744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismas leyes.:@0.154362:0.281731:0.245176:0.281731:0.245176:0.266832:0.154362:0.266832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué circunstancias :@0.105177:0.300377:0.248191:0.300377:0.248191:0.286383:0.105177:0.286383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consideras que una persona :@0.071924:0.315464:0.248193:0.315464:0.248193:0.301471:0.071924:0.301471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no es tratada con igualdad?:@0.072376:0.330552:0.245177:0.330552:0.245177:0.316558:0.072376:0.316558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.155810:0.158480:0.207908:0.158480:0.207908:0.141580:0.155810:0.141580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La propiedad del inverso :@0.080652:0.406391:0.248845:0.406391:0.248845:0.391492:0.080652:0.391492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicativo consiste en :@0.074906:0.421479:0.248845:0.421479:0.248845:0.406580:0.074906:0.406580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicar cada miembro :@0.072896:0.436566:0.248843:0.436566:0.248843:0.421667:0.072896:0.421667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación por el :@0.106367:0.451654:0.248846:0.451654:0.248846:0.436755:0.106367:0.436755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo número, pero :@0.104692:0.466742:0.248845:0.466742:0.248845:0.451843:0.104692:0.451843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invertido. Por ejemplo, :@0.095545:0.481829:0.248845:0.481829:0.248845:0.466930:0.095545:0.466930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en 2  = 4 multiplicamos :@0.085175:0.496917:0.248846:0.496917:0.248846:0.482018:0.085175:0.482018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.114124:0.496917:0.120908:0.496917:0.120908:0.482923:0.114124:0.482923:0.000000
por el inverso :@0.155066:0.512004:0.248846:0.512004:0.248846:0.497105:0.155066:0.497105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicativo queda::@0.104508:0.527092:0.245176:0.527092:0.245176:0.512193:0.104508:0.512193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.153635:0.544612:0.161729:0.544612:0.161729:0.530510:0.153635:0.530510:0.000000
2:@0.152922:0.562014:0.161016:0.562014:0.161016:0.547911:0.152922:0.547911:0.000000
2:@0.171586:0.552604:0.179679:0.552604:0.179679:0.538501:0.171586:0.538501:0.000000
x:@0.180823:0.552604:0.187540:0.552604:0.187540:0.538750:0.180823:0.538750:0.000000
=:@0.191421:0.553214:0.200526:0.553214:0.200526:0.539198:0.191421:0.539198:0.000000
4:@0.204042:0.552604:0.212136:0.552604:0.212136:0.538501:0.204042:0.538501:0.000000
1:@0.224060:0.544613:0.232154:0.544613:0.232154:0.530510:0.224060:0.530510:0.000000
2:@0.223347:0.562014:0.231440:0.562014:0.231440:0.547911:0.223347:0.547911:0.000000
x:@0.144353:0.579762:0.151070:0.579762:0.151070:0.565908:0.144353:0.565908:0.000000
=:@0.154951:0.580372:0.164056:0.580372:0.164056:0.566356:0.154951:0.566356:0.000000
2:@0.166925:0.579762:0.175018:0.579762:0.175018:0.565659:0.166925:0.565659:0.000000
¿Por qué número debes :@0.098125:0.601698:0.248191:0.601698:0.248191:0.587704:0.098125:0.587704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicar a la ecuación :@0.088593:0.616785:0.248191:0.616785:0.248191:0.602792:0.088593:0.602792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.200313:0.628730:0.207097:0.628730:0.207097:0.614736:0.200313:0.614736:0.000000
3:@0.199609:0.643817:0.207784:0.643817:0.207784:0.628918:0.199609:0.628918:0.000000
= 2:@0.220013:0.635808:0.241842:0.635808:0.241842:0.620909:0.220013:0.620909:0.000000:0.000000:0.000000
para despejar x?:@0.143371:0.653561:0.245176:0.653561:0.245176:0.639568:0.143371:0.639568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116218:0.373949:0.223759:0.373949:0.223759:0.357048:0.116218:0.357048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El símbolo ∞ significa :@0.102648:0.731222:0.248844:0.731222:0.248844:0.716323:0.102648:0.716323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito, es decir, :@0.138699:0.746310:0.248844:0.746310:0.248844:0.731411:0.138699:0.731411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tiene fin.:@0.166257:0.761398:0.245177:0.761398:0.245177:0.746499:0.166257:0.746499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+∞: significa más infinito.:@0.078122:0.780043:0.245176:0.780043:0.245176:0.765144:0.078122:0.765144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–∞: significa menos infinito.:@0.070701:0.798689:0.245177:0.798689:0.245177:0.783790:0.070701:0.783790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.101959:0.698781:0.238020:0.698781:0.238020:0.681881:0.101959:0.681881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al siguiente enlace :@0.069473:0.874869:0.248841:0.874869:0.248841:0.859970:0.069473:0.859970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
web: :@0.105842:0.889957:0.141776:0.889957:0.141776:0.875058:0.105842:0.875058:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt04 :@0.141776:0.889957:0.248219:0.889957:0.248219:0.874831:0.141776:0.874831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imprime la página 90 para :@0.070796:0.905044:0.248839:0.905044:0.248839:0.890145:0.070796:0.890145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver ecuaciones.:@0.111320:0.920132:0.245170:0.920132:0.245170:0.905233:0.111320:0.905233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.147127:0.842145:0.197598:0.842145:0.197598:0.825245:0.147127:0.825245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.39. :@0.290067:0.942079:0.338404:0.942079:0.338404:0.931324:0.290067:0.931324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representar un intervalo en   de manera algebraica y gráfica, y reconocer el intervalo como la solución de una inecuación :@0.338006:0.942079:0.903559:0.942079:0.903559:0.931649:0.338006:0.931649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.468125:0.942448:0.476591:0.942448:0.476591:0.931244:0.468125:0.931244:0.000000
 :@0.606277:0.942079:0.608845:0.942079:0.608845:0.931649:0.606277:0.931649:0.000000
de primer grado con una incógnita en  .:@0.290067:0.952640:0.481256:0.952640:0.481256:0.942211:0.290067:0.942211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.470749:0.953010:0.479216:0.953010:0.479216:0.941806:0.470749:0.941806:0.000000