64:@0.035388:0.963884:0.056737:0.963884:0.056737:0.945447:0.035388:0.945447:0.000000:0.000000
Sistemas de inecuaciones lineales :@0.305303:0.067647:0.797623:0.067647:0.797623:0.036918:0.305303:0.036918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con dos incógnitas. Método gráfico:@0.305303:0.096564:0.810716:0.096564:0.810716:0.065836:0.305303:0.065836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver el sistema de inecuaciones lineales con dos incógnitas se utiliza el :@0.305303:0.227561:0.907590:0.227561:0.907590:0.211892:0.305303:0.211892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proceso gráfico de la siguiente manera::@0.305303:0.244158:0.593379:0.244158:0.593379:0.228488:0.305303:0.228488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representamos  gráficamente  cada  inecuación.  Cambiamos  el  signo  de  la :@0.305303:0.267877:0.907679:0.267877:0.907679:0.252207:0.305303:0.252207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desigualdad por igual y buscamos dos puntos de cada recta para graficarla.:@0.305303:0.284473:0.856485:0.284473:0.856485:0.268803:0.305303:0.268803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.305303:0.308192:0.337533:0.308192:0.337533:0.291831:0.305303:0.291831:0.000000:0.000000:0.000000
 –   = 4 :@0.312766:0.308192:0.369616:0.308192:0.369616:0.292522:0.312766:0.292522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  + 2  = 3:@0.546539:0.308192:0.626571:0.308192:0.626571:0.292522:0.546539:0.292522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.555532:0.308192:0.562995:0.308192:0.562995:0.291831:0.555532:0.291831:0.000000
y:@0.591042:0.308192:0.598524:0.308192:0.598524:0.291831:0.591042:0.291831:0.000000
Si   = 0,   = –4    (0, –4) :@0.305303:0.331911:0.479481:0.331911:0.479481:0.316241:0.305303:0.316241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.321741:0.331911:0.329204:0.331911:0.329204:0.315550:0.321741:0.315550:0.000000
y:@0.364493:0.331911:0.371974:0.331911:0.371974:0.315550:0.364493:0.315550:0.000000
A:@0.421342:0.331911:0.431238:0.331911:0.431238:0.315550:0.421342:0.315550:0.000000
Si   = 0,   = 3/2    (0, 3/2):@0.546539:0.331911:0.729194:0.331911:0.729194:0.316241:0.546539:0.316241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.562977:0.331911:0.570440:0.331911:0.570440:0.315550:0.562977:0.315550:0.000000
y:@0.605729:0.331911:0.613211:0.331911:0.613211:0.315550:0.605729:0.315550:0.000000
C:@0.668825:0.331911:0.678739:0.331911:0.678739:0.315550:0.668825:0.315550:0.000000
Si   = 0,   = 4       (4, 0) :@0.305303:0.355630:0.472110:0.355630:0.472110:0.339960:0.305303:0.339960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.321741:0.355630:0.329222:0.355630:0.329222:0.339269:0.321741:0.339269:0.000000
x:@0.364511:0.355630:0.371974:0.355630:0.371974:0.339269:0.364511:0.339269:0.000000
B:@0.424235:0.355630:0.433080:0.355630:0.433080:0.339269:0.424235:0.339269:0.000000
Si   = 0,   = 1        (1, 0):@0.546539:0.355630:0.716037:0.355630:0.716037:0.339960:0.546539:0.339960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.562977:0.355630:0.570458:0.355630:0.570458:0.339269:0.562977:0.339269:0.000000
x:@0.605747:0.355630:0.613211:0.355630:0.613211:0.339269:0.605747:0.339269:0.000000
D:@0.669507:0.355630:0.681043:0.355630:0.681043:0.339269:0.669507:0.339269:0.000000
Sombreamos la solución de cada inecuación. La solución del sistema es la :@0.305303:0.379349:0.907721:0.379349:0.907721:0.363679:0.305303:0.363679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intersección de las regiones sombreadas.:@0.305303:0.395945:0.605152:0.395945:0.605152:0.380276:0.305303:0.380276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Verificamos la solución, tomamos un punto de la parte donde coinciden los dos :@0.305303:0.419664:0.907701:0.419664:0.907701:0.403995:0.305303:0.403995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreados y reemplazamos en el sistema de inecuaciones.:@0.305303:0.436261:0.746842:0.436261:0.746842:0.420591:0.305303:0.420591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.459980:0.309339:0.459980:0.309339:0.444310:0.305303:0.444310:0.000000
x y:@0.365617:0.459980:0.397847:0.459980:0.397847:0.443619:0.365617:0.443619:0.000000:0.000000:0.000000
 –   > 4 :@0.373080:0.459980:0.429929:0.459980:0.429929:0.444310:0.373080:0.444310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.486226:0.459980:0.494997:0.459980:0.494997:0.443619:0.486226:0.443619:0.000000
(2, –4)   2 – (–4) > 4 :@0.494997:0.459980:0.637646:0.459980:0.637646:0.444310:0.494997:0.444310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces :@0.667148:0.459980:0.739292:0.459980:0.739292:0.444310:0.667148:0.444310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 > 4:@0.787757:0.459980:0.824797:0.459980:0.824797:0.444310:0.787757:0.444310:0.000000:0.000000:0.000000:0.000000:0.000000
3  + 2  < 3 :@0.365598:0.483699:0.449665:0.483699:0.449665:0.468029:0.365598:0.468029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.374591:0.483699:0.382054:0.483699:0.382054:0.467338:0.374591:0.467338:0.000000
y:@0.410101:0.483699:0.417583:0.483699:0.417583:0.467338:0.410101:0.467338:0.000000
 :@0.486217:0.483699:0.490252:0.483699:0.490252:0.468029:0.486217:0.468029:0.000000
 3(2) + 2(–4) < 3  :@0.546521:0.483699:0.671173:0.483699:0.671173:0.468029:0.546521:0.468029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.727447:0.483699:0.731483:0.483699:0.731483:0.468029:0.727447:0.468029:0.000000
–2 < 3:@0.787757:0.483699:0.834011:0.483699:0.834011:0.468029:0.787757:0.468029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un:@0.319826:0.512394:0.341239:0.512394:0.341239:0.496724:0.319826:0.496724:0.000000:0.000000
 sistema :@0.341239:0.512394:0.410361:0.512394:0.410361:0.495494:0.341239:0.495494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de:@0.410914:0.512394:0.429876:0.512394:0.429876:0.496724:0.410914:0.496724:0.000000:0.000000
 inecuaciones lineales :@0.429876:0.512394:0.607223:0.512394:0.607223:0.495494:0.429876:0.495494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con dos incógnitas es un conjunto de :@0.607776:0.512394:0.891783:0.512394:0.891783:0.496724:0.607776:0.496724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos o más de estas inecuaciones::@0.316472:0.528991:0.558998:0.528991:0.558998:0.513321:0.316472:0.513321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax + by + c > 0;  ax + by + c < 0;  ax + by + c ≥ 0;  ax + by + c ≤ 0.:@0.316472:0.552710:0.788839:0.552710:0.788839:0.537040:0.316472:0.537040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El par ordenado (x, y) es solución del sistema si satisface simultáneamente a :@0.316472:0.576428:0.895124:0.576428:0.895124:0.560759:0.316472:0.560759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todas las inecuaciones. A la región solución, si existe, se le llama región factible. :@0.316472:0.593025:0.895080:0.593025:0.895080:0.577355:0.316472:0.577355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si es vacía, el sistema es incompatible.:@0.316472:0.609621:0.594429:0.609621:0.594429:0.593952:0.316472:0.593952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.152662:0.369120:0.157822:0.369120:0.157822:0.359148:0.152662:0.359148:0.000000
x:@0.252116:0.430481:0.257147:0.430481:0.257147:0.420509:0.252116:0.420509:0.000000
0:@0.160894:0.445196:0.166617:0.445196:0.166617:0.435225:0.160894:0.435225:0.000000
6:@0.158517:0.383919:0.164240:0.383919:0.164240:0.373948:0.158517:0.373948:0.000000
4:@0.158517:0.401739:0.164240:0.401739:0.164240:0.391767:0.158517:0.391767:0.000000
2:@0.158517:0.419559:0.164240:0.419559:0.164240:0.409587:0.158517:0.409587:0.000000
–2:@0.152654:0.455195:0.164240:0.455195:0.164240:0.445223:0.152654:0.445223:0.000000:0.000000
–4:@0.152654:0.473017:0.164240:0.473017:0.164240:0.463045:0.152654:0.463045:0.000000:0.000000
2:@0.191005:0.445193:0.196728:0.445193:0.196728:0.435221:0.191005:0.435221:0.000000
–2:@0.139642:0.445193:0.151228:0.445193:0.151228:0.435221:0.139642:0.435221:0.000000:0.000000
–4:@0.115896:0.445193:0.127482:0.445193:0.127482:0.435221:0.115896:0.435221:0.000000:0.000000
4:@0.214751:0.445193:0.220474:0.445193:0.220474:0.435221:0.214751:0.435221:0.000000
6:@0.238498:0.445193:0.244221:0.445193:0.244221:0.435221:0.238498:0.435221:0.000000
3x + 2y = 3:@0.101422:0.384860:0.153031:0.384860:0.153031:0.374888:0.101422:0.374888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x – y = 4:@0.218829:0.406959:0.257867:0.406959:0.257867:0.396988:0.218829:0.396988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.152662:0.507968:0.157822:0.507968:0.157822:0.497997:0.152662:0.497997:0.000000
x:@0.254966:0.550443:0.259996:0.550443:0.259996:0.540471:0.254966:0.540471:0.000000
0:@0.160894:0.566223:0.166617:0.566223:0.166617:0.556251:0.160894:0.556251:0.000000
4:@0.158517:0.522768:0.164240:0.522768:0.164240:0.512796:0.158517:0.512796:0.000000
2:@0.158517:0.540588:0.164240:0.540588:0.164240:0.530616:0.158517:0.530616:0.000000
–2:@0.152654:0.576224:0.164240:0.576224:0.164240:0.566252:0.152654:0.566252:0.000000:0.000000
–4:@0.152654:0.594046:0.164240:0.594046:0.164240:0.584074:0.152654:0.584074:0.000000:0.000000
2:@0.191005:0.566222:0.196728:0.566222:0.196728:0.556250:0.191005:0.556250:0.000000
–2:@0.139642:0.566222:0.151228:0.566222:0.151228:0.556250:0.139642:0.556250:0.000000:0.000000
–4:@0.115896:0.566222:0.127482:0.566222:0.127482:0.556250:0.115896:0.556250:0.000000:0.000000
4:@0.214751:0.566222:0.220474:0.566222:0.220474:0.556250:0.214751:0.556250:0.000000
6:@0.238498:0.566222:0.244221:0.566222:0.244221:0.556250:0.238498:0.556250:0.000000
Solución :@0.184078:0.606450:0.227302:0.606450:0.227302:0.596479:0.184078:0.596479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del sistema:@0.178168:0.616510:0.230655:0.616510:0.230655:0.606538:0.178168:0.606538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(2, –4):@0.202160:0.594613:0.236179:0.594613:0.236179:0.584641:0.202160:0.584641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda:@0.311951:0.165582:0.386728:0.165582:0.386728:0.148681:0.311951:0.148681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. La solución a una inecuación con dos incógnitas es la región que :@0.386728:0.165582:0.901449:0.165582:0.901449:0.149912:0.386728:0.149912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
satisface la inecuación.:@0.311951:0.182178:0.478297:0.182178:0.478297:0.166508:0.311951:0.166508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.345643:0.138953:0.471152:0.138953:0.471152:0.122052:0.345643:0.122052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sombreamos la solución de cada inecuación y bus-:@0.535865:0.687081:0.903680:0.687081:0.903680:0.671411:0.535865:0.671411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
camos la intersección de las regiones sombreadas.:@0.535865:0.703677:0.903642:0.703677:0.903642:0.688008:0.535865:0.688008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En esta representación gráfica no existe una región :@0.535865:0.870291:0.907641:0.870291:0.907641:0.854621:0.535865:0.854621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común para las tres inecuaciones. Por lo tanto, el :@0.535865:0.886888:0.907639:0.886888:0.907639:0.871218:0.535865:0.871218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema es incompatible.:@0.535865:0.903484:0.716286:0.903484:0.716286:0.887814:0.535865:0.887814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema de :@0.143854:0.687081:0.228142:0.687081:0.228142:0.671411:0.143854:0.671411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuaciones :@0.143854:0.703677:0.244487:0.703677:0.244487:0.688008:0.143854:0.688008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales:@0.143854:0.720274:0.198510:0.720274:0.198510:0.704604:0.143854:0.704604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.143854:0.743993:0.147889:0.743993:0.147889:0.728323:0.143854:0.728323:0.000000
x:@0.204167:0.743993:0.211631:0.743993:0.211631:0.727632:0.204167:0.727632:0.000000
 > 1:@0.211631:0.743993:0.239677:0.743993:0.239677:0.728323:0.211631:0.728323:0.000000:0.000000:0.000000:0.000000
 :@0.143854:0.767712:0.147889:0.767712:0.147889:0.752042:0.143854:0.752042:0.000000
y:@0.204167:0.767712:0.211649:0.767712:0.211649:0.751350:0.204167:0.751350:0.000000
 > 3:@0.211649:0.767712:0.239696:0.767712:0.239696:0.752042:0.211649:0.752042:0.000000:0.000000:0.000000:0.000000
 :@0.143854:0.791431:0.147889:0.791431:0.147889:0.775761:0.143854:0.775761:0.000000
x:@0.204167:0.791431:0.211631:0.791431:0.211631:0.775069:0.204167:0.775069:0.000000
 +   ≤ 2:@0.211631:0.791431:0.266213:0.791431:0.266213:0.775761:0.211631:0.775761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.230685:0.791431:0.238166:0.791431:0.238166:0.775069:0.230685:0.775069:0.000000
Representamos gráficamente.:@0.295826:0.687067:0.509521:0.687067:0.509521:0.671397:0.295826:0.671397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.295826:0.710786:0.303290:0.710786:0.303290:0.694425:0.295826:0.694425:0.000000
 = 1, recta paralela al eje  .:@0.303290:0.710786:0.493608:0.710786:0.493608:0.695116:0.303290:0.695116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.482920:0.710786:0.490402:0.710786:0.490402:0.694425:0.482920:0.694425:0.000000
y:@0.295826:0.734505:0.303308:0.734505:0.303308:0.718144:0.295826:0.718144:0.000000
 = 3, recta paralela al eje  .:@0.303308:0.734505:0.493608:0.734505:0.493608:0.718835:0.303308:0.718835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.482939:0.734505:0.490402:0.734505:0.490402:0.718144:0.482939:0.718144:0.000000
x:@0.295826:0.758224:0.303290:0.758224:0.303290:0.741863:0.295826:0.741863:0.000000
 +   = 2, (0, 2) y (2, 0):@0.303290:0.758224:0.451282:0.758224:0.451282:0.742554:0.303290:0.742554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.322344:0.758224:0.329825:0.758224:0.329825:0.741863:0.322344:0.741863:0.000000
y:@0.697715:0.726475:0.703836:0.726475:0.703836:0.713088:0.697715:0.713088:0.000000
x:@0.882727:0.802245:0.888833:0.802245:0.888833:0.788858:0.882727:0.788858:0.000000
0:@0.701663:0.808103:0.707386:0.808103:0.707386:0.798131:0.701663:0.798131:0.000000
6:@0.699289:0.746829:0.705012:0.746829:0.705012:0.736858:0.699289:0.736858:0.000000
4:@0.699289:0.764649:0.705012:0.764649:0.705012:0.754677:0.699289:0.754677:0.000000
2:@0.699289:0.782469:0.705012:0.782469:0.705012:0.772497:0.699289:0.772497:0.000000
–2:@0.693426:0.818104:0.705012:0.818104:0.705012:0.808133:0.693426:0.808133:0.000000:0.000000
–4:@0.693426:0.835927:0.705012:0.835927:0.705012:0.825955:0.693426:0.825955:0.000000:0.000000
2:@0.731779:0.808103:0.737502:0.808103:0.737502:0.798131:0.731779:0.798131:0.000000
–2:@0.680416:0.808103:0.692002:0.808103:0.692002:0.798131:0.680416:0.798131:0.000000:0.000000
–4:@0.656670:0.808103:0.668256:0.808103:0.668256:0.798131:0.656670:0.798131:0.000000:0.000000
–6:@0.632923:0.808103:0.644509:0.808103:0.644509:0.798131:0.632923:0.798131:0.000000:0.000000
–8:@0.609177:0.808103:0.620763:0.808103:0.620763:0.798131:0.609177:0.798131:0.000000:0.000000
–10:@0.582569:0.808103:0.599877:0.808103:0.599877:0.798131:0.582569:0.798131:0.000000:0.000000:0.000000
4:@0.755514:0.808103:0.761236:0.808103:0.761236:0.798131:0.755514:0.798131:0.000000
6:@0.779260:0.808103:0.784983:0.808103:0.784983:0.798131:0.779260:0.798131:0.000000
8:@0.803007:0.808103:0.808730:0.808103:0.808730:0.798131:0.803007:0.798131:0.000000
10:@0.823892:0.808103:0.835337:0.808103:0.835337:0.798131:0.823892:0.798131:0.000000:0.000000
y:@0.380975:0.805081:0.387097:0.805081:0.387097:0.791695:0.380975:0.791695:0.000000
x:@0.491687:0.880851:0.497793:0.880851:0.497793:0.867465:0.491687:0.867465:0.000000
0:@0.384924:0.886709:0.390647:0.886709:0.390647:0.876737:0.384924:0.876737:0.000000
6:@0.382550:0.825434:0.388273:0.825434:0.388273:0.815463:0.382550:0.815463:0.000000
4:@0.382550:0.843254:0.388273:0.843254:0.388273:0.833283:0.382550:0.833283:0.000000
2:@0.382550:0.861075:0.388273:0.861075:0.388273:0.851104:0.382550:0.851104:0.000000
–2:@0.376687:0.896711:0.388273:0.896711:0.388273:0.886739:0.376687:0.886739:0.000000:0.000000
–4:@0.376687:0.914533:0.388273:0.914533:0.388273:0.904561:0.376687:0.904561:0.000000:0.000000
2:@0.415040:0.886709:0.420762:0.886709:0.420762:0.876737:0.415040:0.876737:0.000000
–2:@0.363677:0.886709:0.375263:0.886709:0.375263:0.876737:0.363677:0.876737:0.000000:0.000000
–4:@0.339930:0.886709:0.351516:0.886709:0.351516:0.876737:0.339930:0.876737:0.000000:0.000000
–6:@0.316184:0.886709:0.327770:0.886709:0.327770:0.876737:0.316184:0.876737:0.000000:0.000000
4:@0.438786:0.886709:0.444509:0.886709:0.444509:0.876737:0.438786:0.876737:0.000000
6:@0.462533:0.886709:0.468255:0.886709:0.468255:0.876737:0.462533:0.876737:0.000000
x:@0.442298:0.916711:0.447725:0.916711:0.447725:0.904812:0.442298:0.904812:0.000000
 +   = 2:@0.447725:0.916711:0.487422:0.916711:0.487422:0.905315:0.447725:0.905315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.461583:0.916711:0.467024:0.916711:0.467024:0.904812:0.461583:0.904812:0.000000
x:@0.412465:0.822374:0.417893:0.822374:0.417893:0.810474:0.412465:0.810474:0.000000
 = 1:@0.417893:0.822374:0.438290:0.822374:0.438290:0.810977:0.417893:0.810977:0.000000:0.000000:0.000000:0.000000
y:@0.455485:0.847298:0.460926:0.847298:0.460926:0.835399:0.455485:0.835399:0.000000
 = 3:@0.460926:0.847298:0.481324:0.847298:0.481324:0.835902:0.460926:0.835902:0.000000:0.000000:0.000000:0.000000
Resolvemos el siguiente sistema de inecuaciones lineales con dos incóginitas.:@0.143847:0.656872:0.712094:0.656872:0.712094:0.641202:0.143847:0.641202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La base para tener  :@0.106529:0.166468:0.235856:0.166468:0.235856:0.152223:0.106529:0.152223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buenas relaciones :@0.106529:0.181556:0.230244:0.181556:0.230244:0.167310:0.106529:0.167310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpersonales está :@0.106529:0.196643:0.243748:0.196643:0.243748:0.182398:0.106529:0.182398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en reconocer las :@0.106529:0.211731:0.219742:0.211731:0.219742:0.197486:0.106529:0.197486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emociones de los :@0.106529:0.226818:0.227482:0.226818:0.227482:0.212573:0.106529:0.212573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demás, así como :@0.106529:0.241906:0.221451:0.241906:0.221451:0.227661:0.106529:0.227661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer y manejar tus :@0.106529:0.256994:0.258273:0.256994:0.258273:0.242748:0.106529:0.242748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propias emociones.:@0.106529:0.272081:0.236442:0.272081:0.236442:0.257836:0.106529:0.257836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Según tu experiencia, :@0.106529:0.294298:0.254416:0.294298:0.254416:0.280052:0.106529:0.280052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué importancia tienen :@0.106529:0.309385:0.270318:0.309385:0.270318:0.295140:0.106529:0.295140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para ti las relaciones :@0.106529:0.324473:0.240446:0.324473:0.240446:0.310228:0.106529:0.310228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpersonales?:@0.106529:0.339561:0.215638:0.339561:0.215638:0.325315:0.106529:0.325315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.129483:0.247891:0.129483:0.247891:0.112583:0.136865:0.112583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.136865:0.143313:0.259482:0.143313:0.259482:0.126413:0.136865:0.126413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.41.:@0.096901:0.950561:0.142811:0.950561:0.142811:0.939806:0.096901:0.939806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolver un sistema de inecuaciones lineales con dos incógnitas de manera gráfica (en el plano) y reconocer la zona común sombreada como solución del sistema.:@0.142811:0.950561:0.903720:0.950561:0.903720:0.940589:0.142811:0.940589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000