32:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
P(0, 0), por debajo de la recta  .:@0.507603:0.463944:0.732306:0.463944:0.732306:0.447555:0.507603:0.447555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.723811:0.463944:0.729100:0.463944:0.729100:0.447583:0.723811:0.447583:0.000000
Analizamos:@0.507603:0.487663:0.596148:0.487663:0.596148:0.471039:0.507603:0.471039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si   satisface o no la inecuación dada::@0.596148:0.487663:0.872471:0.487663:0.872471:0.471274:0.596148:0.471274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.614944:0.487663:0.623716:0.487663:0.623716:0.471302:0.614944:0.471302:0.000000
(0) + 2(0) > 4; 0 > 4:@0.507603:0.511382:0.645498:0.511382:0.645498:0.494993:0.507603:0.494993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No satisface la inecuación; por tanto, en este caso, :@0.507603:0.535101:0.883876:0.535101:0.883876:0.518712:0.507603:0.518712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreamos:@0.507603:0.551697:0.607610:0.551697:0.607610:0.535073:0.507603:0.535073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el semiplano superior (el que no con-:@0.607610:0.551697:0.879897:0.551697:0.879897:0.535308:0.607610:0.535308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene al punto de prueba).:@0.507603:0.568294:0.698457:0.568294:0.698457:0.551905:0.507603:0.551905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.550205:0.728836:0.563446:0.728836:0.563446:0.716917:0.550205:0.716917:0.000000:0.000000
–1:@0.606024:0.728836:0.619265:0.728836:0.619265:0.716917:0.606024:0.716917:0.000000:0.000000
–1:@0.645774:0.764161:0.659015:0.764161:0.659015:0.752242:0.645774:0.752242:0.000000:0.000000
0:@0.651510:0.728836:0.658050:0.728836:0.658050:0.716917:0.651510:0.716917:0.000000
1:@0.720731:0.728836:0.727271:0.728836:0.727271:0.716917:0.720731:0.716917:0.000000
1:@0.650800:0.676663:0.657340:0.676663:0.657340:0.664744:0.650800:0.664744:0.000000
P:@0.672042:0.709604:0.678769:0.709604:0.678769:0.697685:0.672042:0.697685:0.000000
B:@0.889903:0.709604:0.896671:0.709604:0.896671:0.697685:0.889903:0.697685:0.000000
A:@0.671479:0.629258:0.679319:0.629258:0.679319:0.617339:0.671479:0.617339:0.000000
3:@0.825882:0.728836:0.832422:0.728836:0.832422:0.716917:0.825882:0.716917:0.000000
2:@0.771752:0.728836:0.778292:0.728836:0.778292:0.716917:0.771752:0.716917:0.000000
2:@0.650800:0.633191:0.657340:0.633191:0.657340:0.621271:0.650800:0.621271:0.000000
3:@0.650800:0.594436:0.657340:0.594436:0.657340:0.582516:0.650800:0.582516:0.000000
4:@0.884904:0.728846:0.891444:0.728846:0.891444:0.716927:0.884904:0.716927:0.000000
El conjunto solución de la inecuación está forma-:@0.507603:0.784465:0.879934:0.784465:0.879934:0.768076:0.507603:0.768076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do por todos los puntos pertenecientes a la región :@0.507603:0.801062:0.883968:0.801062:0.883968:0.784673:0.507603:0.784673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreada.:@0.507603:0.817658:0.593679:0.817658:0.593679:0.801269:0.507603:0.801269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Verificamos:@0.507603:0.841377:0.596480:0.841377:0.596480:0.824753:0.507603:0.824753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, para ello :@0.596480:0.841377:0.678465:0.841377:0.678465:0.824988:0.596480:0.824988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomamos:@0.682353:0.841377:0.755492:0.841377:0.755492:0.824753:0.682353:0.824753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un punto cual-:@0.755492:0.841377:0.879914:0.841377:0.879914:0.824988:0.755492:0.824988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quiera del semiplano solución y :@0.507603:0.857973:0.744122:0.857973:0.744122:0.841584:0.507603:0.841584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reemplazamos:@0.744122:0.857973:0.857067:0.857973:0.857067:0.841349:0.744122:0.841349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en :@0.857067:0.857973:0.883953:0.857973:0.883953:0.841584:0.857067:0.841584:0.000000:0.000000:0.000000:0.000000
la desigualdad. :@0.507603:0.874570:0.621134:0.874570:0.621134:0.858181:0.507603:0.858181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.507603:0.894734:0.516375:0.894734:0.516375:0.878373:0.507603:0.878373:0.000000
(3, 2)   + 2  > 4;  3 +2(2) > 4; 7 > 4:@0.516375:0.894734:0.761813:0.894734:0.761813:0.878345:0.516375:0.878345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.555405:0.894734:0.562868:0.894734:0.562868:0.878373:0.555405:0.878373:0.000000
y:@0.590915:0.894734:0.598396:0.894734:0.598396:0.878373:0.590915:0.878373:0.000000
Resolvamos:@0.115205:0.463948:0.206643:0.463948:0.206643:0.447324:0.115205:0.447324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la inecuación   + 2  > 4.:@0.206643:0.463948:0.386055:0.463948:0.386055:0.447559:0.206643:0.447559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.311810:0.463948:0.319273:0.463948:0.319273:0.447587:0.311810:0.447587:0.000000
y:@0.347320:0.463948:0.354802:0.463948:0.354802:0.447587:0.347320:0.447587:0.000000
Recta  :   + 2  = 4:@0.115205:0.487667:0.243628:0.487667:0.243628:0.471278:0.115205:0.471278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r x:@0.160058:0.487667:0.180052:0.487667:0.180052:0.471306:0.160058:0.471306:0.000000:0.000000:0.000000
y:@0.208099:0.487667:0.215581:0.487667:0.215581:0.471306:0.208099:0.471306:0.000000
Intercepciones con los ejes ” ”   “ ”:@0.115205:0.511386:0.365877:0.511386:0.365877:0.494997:0.115205:0.494997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y y:@0.322608:0.511386:0.360477:0.511386:0.360477:0.495025:0.322608:0.495025:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.115205:0.538867:0.122669:0.538867:0.122669:0.522505:0.115205:0.522505:0.000000
 = 0: :@0.122669:0.538867:0.157958:0.538867:0.157958:0.522478:0.122669:0.522478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.162043:0.537623:0.169507:0.537623:0.169507:0.522230:0.162043:0.522230:0.000000
y:@0.265437:0.537623:0.272919:0.537623:0.272919:0.522230:0.265437:0.522230:0.000000
y:@0.325170:0.537623:0.332652:0.537623:0.332652:0.522230:0.325170:0.522230:0.000000
( ):@0.219211:0.540755:0.241315:0.540755:0.241315:0.520822:0.219211:0.520822:0.000000:0.000000:0.000000
= ⇒:@0.173561:0.538301:0.216294:0.538301:0.216294:0.522728:0.173561:0.522728:0.000000:0.000000:0.000000
+:@0.243033:0.538301:0.219224:0.538301:0.219224:0.522728:0.243033:0.522728:0.000000
=:@0.276958:0.538301:0.253150:0.538301:0.253150:0.522728:0.276958:0.522728:0.000000
⇒ =:@0.302609:0.538301:0.346799:0.538301:0.346799:0.522728:0.302609:0.522728:0.000000:0.000000:0.000000
0:@0.186231:0.537623:0.195223:0.537623:0.195223:0.521953:0.186231:0.521953:0.000000
0:@0.225651:0.537623:0.234644:0.537623:0.234644:0.521953:0.225651:0.521953:0.000000
2:@0.255172:0.537623:0.264165:0.537623:0.264165:0.521953:0.255172:0.521953:0.000000
4:@0.290352:0.537623:0.299345:0.537623:0.299345:0.521953:0.290352:0.521953:0.000000
2:@0.349352:0.537623:0.358345:0.537623:0.358345:0.521953:0.349352:0.521953:0.000000
Punto A(0, 2):@0.115209:0.562604:0.208987:0.562604:0.208987:0.546216:0.115209:0.546216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = 0: :@0.115209:0.590085:0.158606:0.590085:0.158606:0.573696:0.115209:0.573696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.162688:0.588836:0.170170:0.588836:0.170170:0.573442:0.162688:0.573442:0.000000
x:@0.221325:0.588836:0.228788:0.588836:0.228788:0.573442:0.221325:0.573442:0.000000
x:@0.326971:0.588836:0.334434:0.588836:0.334434:0.573442:0.326971:0.573442:0.000000
( ):@0.253989:0.591967:0.276093:0.591967:0.276093:0.572034:0.253989:0.572034:0.000000:0.000000:0.000000
= ⇒ +:@0.174206:0.589513:0.195139:0.589513:0.195139:0.573940:0.174206:0.573940:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.278746:0.589513:0.242001:0.589513:0.242001:0.573940:0.278746:0.573940:0.000000
⇒ =:@0.304397:0.589513:0.348586:0.589513:0.348586:0.573940:0.304397:0.573940:0.000000:0.000000:0.000000
0:@0.186865:0.588836:0.195858:0.588836:0.195858:0.573166:0.186865:0.573166:0.000000
20:@0.244034:0.588836:0.269408:0.588836:0.269408:0.573166:0.244034:0.573166:0.000000:0.000000
4:@0.292141:0.588836:0.301133:0.588836:0.301133:0.573166:0.292141:0.573166:0.000000
4:@0.351874:0.588836:0.360867:0.588836:0.360867:0.573166:0.351874:0.573166:0.000000
Punto B(4, 0):@0.115209:0.613817:0.207513:0.613817:0.207513:0.597428:0.115209:0.597428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos:@0.115209:0.637536:0.187906:0.637536:0.187906:0.620912:0.115209:0.620912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la recta que pasa por los puntos   y   :@0.187906:0.637536:0.491501:0.637536:0.491501:0.621147:0.187906:0.621147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.447975:0.637536:0.457871:0.637536:0.457871:0.621175:0.447975:0.621175:0.000000
B:@0.478620:0.637536:0.487466:0.637536:0.487466:0.621175:0.478620:0.621175:0.000000
con línea punteada porque la desigualdad es  :@0.115209:0.654132:0.491538:0.654132:0.491538:0.637743:0.115209:0.637743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estricta (>).:@0.115209:0.670729:0.196602:0.670729:0.196602:0.654340:0.115209:0.654340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.115237:0.809188:0.128478:0.809188:0.128478:0.797268:0.115237:0.797268:0.000000:0.000000
1:@0.254871:0.809188:0.261411:0.809188:0.261411:0.797268:0.254871:0.797268:0.000000
1:@0.220790:0.768552:0.227330:0.768552:0.227330:0.756632:0.220790:0.756632:0.000000
B:@0.410052:0.793657:0.416820:0.793657:0.416820:0.781738:0.410052:0.781738:0.000000
A:@0.245342:0.731165:0.253182:0.731165:0.253182:0.719245:0.245342:0.719245:0.000000
P:@0.270324:0.789584:0.277051:0.789584:0.277051:0.777665:0.270324:0.777665:0.000000
2:@0.220777:0.735902:0.227317:0.735902:0.227317:0.723983:0.220777:0.723983:0.000000
3:@0.220777:0.704238:0.227317:0.704238:0.227317:0.692319:0.220777:0.692319:0.000000
–2:@0.301135:0.809198:0.314376:0.809198:0.314376:0.797278:0.301135:0.797278:0.000000:0.000000
–1:@0.167933:0.809198:0.181174:0.809198:0.181174:0.797278:0.167933:0.797278:0.000000:0.000000
–1:@0.217426:0.832352:0.230667:0.832352:0.230667:0.820433:0.217426:0.820433:0.000000:0.000000
3:@0.352906:0.809198:0.359446:0.809198:0.359446:0.797278:0.352906:0.797278:0.000000
4:@0.403378:0.809198:0.409918:0.809198:0.409918:0.797278:0.403378:0.797278:0.000000
5:@0.451276:0.809198:0.457816:0.809198:0.457816:0.797278:0.451276:0.797278:0.000000
0:@0.227022:0.809198:0.233562:0.809198:0.233562:0.797278:0.227022:0.797278:0.000000
Elegimos:@0.115209:0.859417:0.185142:0.859417:0.185142:0.842793:0.115209:0.842793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un punto de prueba cualquiera que no :@0.185142:0.859417:0.491557:0.859417:0.491557:0.843028:0.185142:0.843028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pertenezca a la recta; en este ejemplo::@0.115209:0.876013:0.395287:0.876013:0.395287:0.859624:0.115209:0.859624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver una inecuación lineal con dos incógnitas, seguimos los siguientes pasos::@0.115209:0.166504:0.741061:0.166504:0.741061:0.150115:0.115209:0.150115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.190223:0.133950:0.190223:0.133950:0.173088:0.115209:0.173088:0.000000:0.000000:0.000000
Cambiamos:@0.148452:0.190223:0.239724:0.190223:0.239724:0.173599:0.148452:0.173599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el signo de la desigualdad por el de igualdad; así obtenemos la ecuación de una recta.:@0.239724:0.190223:0.873965:0.190223:0.873965:0.173834:0.239724:0.173834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.115209:0.213942:0.133950:0.213942:0.133950:0.196807:0.115209:0.196807:0.000000:0.000000:0.000000
Graficamos:@0.148452:0.213942:0.234731:0.213942:0.234731:0.197318:0.148452:0.197318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la recta obtenida. Para ello, :@0.234731:0.213942:0.437984:0.213942:0.437984:0.197553:0.234731:0.197553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buscamos:@0.437984:0.213942:0.515840:0.213942:0.515840:0.197318:0.437984:0.197318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sus intersecciones con los ejes coordenados.:@0.515840:0.213942:0.846010:0.213942:0.846010:0.197553:0.515840:0.197553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.237661:0.118931:0.237661:0.118931:0.220526:0.115209:0.220526:0.000000
Si la desigualdad es estricta (tiene signos < o >), :@0.148452:0.237661:0.497435:0.237661:0.497435:0.221272:0.148452:0.221272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representamos:@0.496919:0.237661:0.612000:0.237661:0.612000:0.221037:0.496919:0.221037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la recta con una línea punteada para :@0.612000:0.237661:0.883918:0.237661:0.883918:0.221272:0.612000:0.221272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indicar que los puntos que la forman no pertenecen al conjunto solución; en caso contrario (cuando :@0.148452:0.254258:0.883826:0.254258:0.883826:0.237869:0.148452:0.237869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene los signos ≤ o ≥) la :@0.148452:0.270854:0.333318:0.270854:0.333318:0.254465:0.148452:0.254465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representamos:@0.333761:0.270854:0.448841:0.270854:0.448841:0.254230:0.333761:0.254230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con un trazo continuo para indicar que la recta pertenece :@0.448841:0.270854:0.883824:0.270854:0.883824:0.254465:0.448841:0.254465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al conjunto solución.:@0.148452:0.287450:0.301015:0.287450:0.301015:0.271062:0.148452:0.271062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.115209:0.311169:0.133950:0.311169:0.133950:0.294034:0.115209:0.294034:0.000000:0.000000:0.000000
Tomamos:@0.148452:0.311169:0.223453:0.311169:0.223453:0.294545:0.148452:0.294545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un punto que no pertenezca a la recta y lo :@0.223453:0.311169:0.557010:0.311169:0.557010:0.294781:0.223453:0.294781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sustituimos:@0.558465:0.311169:0.646973:0.311169:0.646973:0.294545:0.558465:0.294545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la inecuación; si satisface la :@0.646973:0.311169:0.884045:0.311169:0.884045:0.294781:0.646973:0.294781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación, :@0.148452:0.327766:0.236481:0.327766:0.236481:0.311377:0.148452:0.311377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreamos:@0.238932:0.327766:0.338939:0.327766:0.338939:0.311142:0.238932:0.311142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el semiplano donde se encuentra ubicado el punto; en caso contrario :@0.338939:0.327766:0.883929:0.327766:0.883929:0.311377:0.338939:0.311377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreamos:@0.148452:0.344362:0.248459:0.344362:0.248459:0.327738:0.148452:0.327738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el otro semiplano.:@0.248459:0.344362:0.383698:0.344362:0.383698:0.327973:0.248459:0.327973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.115209:0.368081:0.133950:0.368081:0.133950:0.350945:0.115209:0.350945:0.000000:0.000000:0.000000
Si la desigualdad dada es estricta (signos < o >), entonces el área sombreada, sin incluir a la recta, :@0.148452:0.368081:0.884062:0.368081:0.884062:0.351692:0.148452:0.351692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el conjunto solución de la inecuación; pero si la desigualdad dada no es estricta (signos ≤ o ≥), :@0.148452:0.384678:0.883824:0.384678:0.883824:0.368289:0.148452:0.368289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces el área sombreada y los puntos de la recta conforman el conjunto solución.:@0.148452:0.401274:0.770525:0.401274:0.770525:0.384885:0.148452:0.384885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.433971:0.272331:0.433971:0.272331:0.415534:0.115209:0.415534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Inecuaciones lineales con dos incógnitas:@0.115891:0.141978:0.720485:0.141978:0.720485:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.40. Resolver de manera geométrica una inecuación lineal con dos incógnitas en el plano cartesiano sombreando la solución.:@0.125388:0.074999:0.731627:0.074999:0.731627:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.055475:0.122645:0.075035:0.122645:0.075035:0.065614:0.055475:0.065614:0.000000