54:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Sistemas de ecuaciones:@0.073089:0.043661:0.282490:0.043661:0.282490:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.158362:0.437491:0.158362:0.437491:0.141415:0.302768:0.141415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda:@0.293660:0.189549:0.368355:0.189549:0.368355:0.172602:0.293660:0.172602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. La solución a una inecuación con dos incógnitas es la región que :@0.368355:0.189549:0.861743:0.189549:0.861743:0.173115:0.368355:0.173115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
satisface la inecuación.:@0.293660:0.206191:0.459822:0.206191:0.459822:0.189757:0.293660:0.189757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 3. Sistemas de inecuaciones lineales con dos incógnitas. Método gráfico:@0.073089:0.094582:0.913536:0.094582:0.913536:0.071151:0.073089:0.071151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.1 Método gráfico:@0.293660:0.242859:0.441991:0.242859:0.441991:0.225912:0.293660:0.225912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver el sistema de inecuaciones lineales con dos incógnitas se utiliza el proceso :@0.293660:0.270221:0.931394:0.270221:0.931394:0.253787:0.293660:0.253787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfico de la siguiente manera::@0.293660:0.286862:0.515952:0.286862:0.515952:0.270429:0.293660:0.270429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representamos gráficamente cada inecuación. Cambiamos el signo de la desigualdad :@0.293660:0.314224:0.930465:0.314224:0.930465:0.297790:0.293660:0.297790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por igual y buscamos dos puntos de cada recta para graficarla.:@0.293660:0.330866:0.745359:0.330866:0.745359:0.314432:0.293660:0.314432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.293660:0.351086:0.325541:0.351086:0.325541:0.334680:0.293660:0.334680:0.000000:0.000000:0.000000
 – :@0.301041:0.351086:0.318160:0.351086:0.318160:0.334652:0.301041:0.334652:0.000000:0.000000:0.000000
= 4:@0.329430:0.351083:0.353260:0.351083:0.353260:0.334650:0.329430:0.334650:0.000000:0.000000:0.000000
3  + 2  = 3:@0.534658:0.351083:0.613791:0.351083:0.613791:0.334650:0.534658:0.334650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.543530:0.351083:0.550985:0.351083:0.550985:0.334677:0.543530:0.334677:0.000000
y:@0.578596:0.351083:0.586069:0.351083:0.586069:0.334677:0.578596:0.334677:0.000000
Si   = 0,   = –4    (0, –4)   :@0.293633:0.371303:0.478466:0.371299:0.478466:0.354866:0.293633:0.354869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.309813:0.371303:0.317268:0.371303:0.317268:0.354897:0.309813:0.354897:0.000000
y:@0.351966:0.371303:0.359439:0.371303:0.359439:0.354897:0.351966:0.354897:0.000000
A:@0.408034:0.371303:0.417919:0.371303:0.417919:0.354897:0.408034:0.354897:0.000000
Si   = 0,   = 3/2    (0, 3/2):@0.534623:0.371299:0.718163:0.371299:0.718163:0.354866:0.534623:0.354866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.550804:0.371299:0.558259:0.371299:0.558259:0.354893:0.550804:0.354893:0.000000
y:@0.592957:0.371299:0.600430:0.371299:0.600430:0.354893:0.592957:0.354893:0.000000
C :@0.655192:0.371299:0.668335:0.371299:0.668335:0.354893:0.655192:0.354893:0.000000:0.000000
Si   = 0,   = 4       (4, 0)   :@0.293655:0.391519:0.478458:0.391514:0.478458:0.375080:0.293655:0.375086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.309835:0.391519:0.317308:0.391519:0.317308:0.375113:0.309835:0.375113:0.000000
x:@0.352006:0.391519:0.359461:0.391519:0.359461:0.375113:0.352006:0.375113:0.000000
B:@0.410780:0.391519:0.419616:0.391519:0.419616:0.375113:0.410780:0.375113:0.000000
Si   = 0,   = 1        (1, 0):@0.534626:0.391514:0.705002:0.391514:0.705002:0.375080:0.534626:0.375080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.550804:0.391514:0.558278:0.391514:0.558278:0.375108:0.550804:0.375108:0.000000
x:@0.592975:0.391514:0.600430:0.391514:0.600430:0.375108:0.592975:0.375108:0.000000
D :@0.655707:0.391514:0.670470:0.391514:0.670470:0.375108:0.655707:0.375108:0.000000:0.000000
Sombreamos la solución de cada inecuación. La solución del sistema es la intersección :@0.293655:0.418876:0.930726:0.418876:0.930726:0.402442:0.293655:0.402442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las regiones sombreadas.:@0.293655:0.435518:0.497836:0.435518:0.497836:0.419084:0.293655:0.419084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Verificamos la solución, tomamos un punto de la parte donde coinciden los dos :@0.293655:0.462880:0.931126:0.462880:0.931126:0.446446:0.293655:0.446446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sombreados y reemplazamos en el sistema de inecuaciones.:@0.293655:0.479522:0.730630:0.479522:0.730630:0.463088:0.293655:0.463088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.503313:0.297691:0.503313:0.297691:0.486880:0.293660:0.486880:0.000000
x y:@0.353902:0.503313:0.386096:0.503313:0.386096:0.486907:0.353902:0.486907:0.000000:0.000000:0.000000
 –   > 4 :@0.361357:0.503313:0.418142:0.503313:0.418142:0.486880:0.361357:0.486880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.474386:0.503313:0.483148:0.503313:0.483148:0.486907:0.474386:0.486907:0.000000
(2, –4)     2 – (–4) > 4 :@0.483148:0.503313:0.633701:0.503313:0.633701:0.486880:0.483148:0.486880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       entonces :@0.655108:0.503313:0.755391:0.503313:0.755391:0.486880:0.655108:0.486880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 > 4:@0.775584:0.503313:0.812582:0.503313:0.812582:0.486880:0.775584:0.486880:0.000000:0.000000:0.000000:0.000000:0.000000
3  + 2  < 3 :@0.353907:0.527104:0.437874:0.527104:0.437874:0.510670:0.353907:0.510670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.362885:0.527104:0.370340:0.527104:0.370340:0.510698:0.362885:0.510698:0.000000
y:@0.398356:0.527104:0.405829:0.527104:0.405829:0.510698:0.398356:0.510698:0.000000
 :@0.474385:0.527104:0.478416:0.527104:0.478416:0.510670:0.474385:0.510670:0.000000
   3(2) + 2(–4) < 3 :@0.534623:0.527104:0.662443:0.527104:0.662443:0.510670:0.534623:0.510670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.715349:0.527104:0.719380:0.527104:0.719380:0.510670:0.715349:0.510670:0.000000
–2 < 3:@0.775592:0.527104:0.821794:0.527104:0.821794:0.510670:0.775592:0.510670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un:@0.306493:0.554573:0.327883:0.554573:0.327883:0.538139:0.306493:0.538139:0.000000:0.000000
 sistema :@0.327883:0.554573:0.396643:0.554573:0.396643:0.537626:0.327883:0.537626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de:@0.396910:0.554573:0.415851:0.554573:0.415851:0.538139:0.396910:0.538139:0.000000:0.000000
 inecuaciones lineales :@0.415851:0.554573:0.592430:0.554573:0.592430:0.537626:0.415851:0.537626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con dos incógnitas es un conjunto de dos o :@0.592689:0.554573:0.919584:0.554573:0.919584:0.538139:0.592689:0.538139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más de estas inecuaciones::@0.303143:0.571215:0.500874:0.571215:0.500874:0.554781:0.303143:0.554781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.303143:0.591434:0.319857:0.591434:0.319857:0.575028:0.303143:0.575028:0.000000:0.000000
 +   +   > 0;    +   +   < 0;    +   +   ≥ 0;    +   + c ≤ 0.:@0.319857:0.591434:0.768994:0.591434:0.768994:0.575001:0.319857:0.575001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
by:@0.338890:0.591434:0.355512:0.591434:0.355512:0.575028:0.338890:0.575028:0.000000:0.000000
c:@0.374545:0.591434:0.382202:0.591434:0.382202:0.575028:0.374545:0.575028:0.000000
ax:@0.421483:0.591434:0.438197:0.591434:0.438197:0.575028:0.421483:0.575028:0.000000:0.000000
by:@0.457230:0.591434:0.473852:0.591434:0.473852:0.575028:0.457230:0.575028:0.000000:0.000000
c:@0.492885:0.591434:0.500543:0.591434:0.500543:0.575028:0.492885:0.575028:0.000000
ax:@0.539824:0.591434:0.556537:0.591434:0.556537:0.575028:0.539824:0.575028:0.000000:0.000000
by:@0.575571:0.591434:0.592192:0.591434:0.592192:0.575028:0.575571:0.575028:0.000000:0.000000
c:@0.611225:0.591434:0.618883:0.591434:0.618883:0.575028:0.611225:0.575028:0.000000
ax:@0.658164:0.591434:0.674878:0.591434:0.674878:0.575028:0.658164:0.575028:0.000000:0.000000
by:@0.693911:0.591434:0.710533:0.591434:0.710533:0.575028:0.693911:0.575028:0.000000:0.000000
El par ordenado (x, y) es solución del sistema si satisface simultáneamente a todas las :@0.303143:0.611654:0.919692:0.611654:0.919692:0.595220:0.303143:0.595220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuaciones. A la región solución, si existe, se le llama región factible. Si es vacía, el :@0.303143:0.628296:0.919523:0.628296:0.919523:0.611862:0.303143:0.611862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema es incompatible.:@0.304818:0.644938:0.485040:0.644938:0.485040:0.628504:0.304818:0.628504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema de :@0.073089:0.708996:0.156614:0.708996:0.156614:0.692563:0.073089:0.692563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuaciones :@0.073089:0.725638:0.172801:0.725638:0.172801:0.709204:0.073089:0.709204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales:@0.073089:0.742280:0.127169:0.742280:0.127169:0.725846:0.073089:0.725846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     > 1:@0.073089:0.773220:0.120653:0.773220:0.120653:0.756786:0.073089:0.756786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.085182:0.773220:0.092637:0.773220:0.092637:0.756814:0.085182:0.756814:0.000000
     > 3:@0.073089:0.793440:0.120672:0.793440:0.120672:0.777006:0.073089:0.777006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.085182:0.793440:0.092656:0.793440:0.092656:0.777034:0.085182:0.777034:0.000000
     +   ≤ 2.:@0.073089:0.813660:0.150362:0.813660:0.150362:0.797226:0.073089:0.797226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.085182:0.813660:0.092637:0.813660:0.092637:0.797254:0.085182:0.797254:0.000000
y:@0.111670:0.813660:0.119144:0.813660:0.119144:0.797254:0.111670:0.797254:0.000000
Representamos gráficamente.:@0.252649:0.708996:0.466107:0.708996:0.466107:0.692563:0.252649:0.692563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.252649:0.736360:0.260104:0.736360:0.260104:0.719953:0.252649:0.719953:0.000000
 = 1, recta paralela al eje  .:@0.260104:0.736360:0.450214:0.736360:0.450214:0.719926:0.260104:0.719926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.439538:0.736360:0.447011:0.736360:0.447011:0.719953:0.439538:0.719953:0.000000
y:@0.252649:0.756579:0.260122:0.756579:0.260122:0.740173:0.252649:0.740173:0.000000
 = 3, recta paralela al eje :@0.260122:0.756579:0.439556:0.756579:0.439556:0.740146:0.260122:0.740146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x.:@0.439556:0.756579:0.450343:0.756579:0.450343:0.740173:0.439556:0.740173:0.000000:0.000000
x:@0.252649:0.776799:0.260104:0.776799:0.260104:0.760393:0.252649:0.760393:0.000000
 +   = 2, (0, 2) y (2, 0).:@0.260104:0.776799:0.411135:0.776799:0.411135:0.760365:0.260104:0.760365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.279137:0.776799:0.286610:0.776799:0.286610:0.760393:0.279137:0.760393:0.000000
y:@0.339123:0.811694:0.345237:0.811694:0.345237:0.798271:0.339123:0.798271:0.000000
x:@0.449712:0.887672:0.455811:0.887672:0.455811:0.874249:0.449712:0.874249:0.000000
0:@0.343067:0.893545:0.348783:0.893545:0.348783:0.883088:0.343067:0.883088:0.000000
6:@0.340696:0.832104:0.346412:0.832104:0.346412:0.821646:0.340696:0.821646:0.000000
4:@0.340696:0.849973:0.346412:0.849973:0.346412:0.839515:0.340696:0.839515:0.000000
2:@0.340694:0.867841:0.346410:0.867841:0.346410:0.857384:0.340694:0.857384:0.000000
–2:@0.334837:0.903575:0.346410:0.903575:0.346410:0.893117:0.334837:0.893117:0.000000:0.000000
–4:@0.334837:0.921446:0.346410:0.921446:0.346410:0.910988:0.334837:0.910988:0.000000:0.000000
2:@0.373148:0.893545:0.378864:0.893545:0.378864:0.883088:0.373148:0.883088:0.000000
–2:@0.321842:0.893545:0.333415:0.893545:0.333415:0.883088:0.321842:0.883088:0.000000:0.000000
–4:@0.298121:0.893545:0.309695:0.893545:0.309695:0.883088:0.298121:0.883088:0.000000:0.000000
–6:@0.274401:0.893545:0.285974:0.893545:0.285974:0.883088:0.274401:0.883088:0.000000:0.000000
4:@0.396868:0.893545:0.402584:0.893545:0.402584:0.883088:0.396868:0.883088:0.000000
6:@0.420588:0.893545:0.426304:0.893545:0.426304:0.883088:0.420588:0.883088:0.000000
x:@0.400375:0.923630:0.405797:0.923630:0.405797:0.911699:0.400375:0.911699:0.000000
 +   = 2:@0.405797:0.923630:0.445450:0.923630:0.445450:0.911679:0.405797:0.911679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.419639:0.923630:0.425075:0.923630:0.425075:0.911699:0.419639:0.911699:0.000000
x:@0.370576:0.829034:0.375997:0.829034:0.375997:0.817103:0.370576:0.817103:0.000000
 = 1:@0.375997:0.829034:0.396373:0.829034:0.396373:0.817082:0.375997:0.817082:0.000000:0.000000:0.000000:0.000000
y:@0.413548:0.854027:0.418983:0.854027:0.418983:0.842096:0.413548:0.842096:0.000000
 = 3:@0.418983:0.854027:0.439359:0.854027:0.439359:0.842075:0.418983:0.842075:0.000000:0.000000:0.000000:0.000000
Resolvemos el siguiente sistema de inecuaciones lineales con dos incóginitas.:@0.073089:0.679598:0.640708:0.679598:0.640708:0.663164:0.073089:0.663164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sombreamos la solución de cada inecuación y busca-:@0.536887:0.708996:0.925593:0.708996:0.925593:0.692563:0.536887:0.692563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos la intersección de las regiones sombreadas.:@0.536887:0.725638:0.888460:0.725638:0.888460:0.709204:0.536887:0.709204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En  esta representación  gráfica no  existe  una región :@0.535101:0.902527:0.931426:0.902527:0.931426:0.886093:0.535101:0.886093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común para las tres inecuaciones. Por lo tanto, el siste-:@0.535101:0.919169:0.927378:0.919169:0.927378:0.902735:0.535101:0.902735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ma es incompatible.:@0.535101:0.935811:0.683239:0.935811:0.683239:0.919377:0.535101:0.919377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.708449:0.753020:0.714564:0.753020:0.714564:0.739597:0.708449:0.739597:0.000000
x:@0.893250:0.829000:0.899349:0.829000:0.899349:0.815577:0.893250:0.815577:0.000000
0:@0.712393:0.834872:0.718110:0.834872:0.718110:0.824414:0.712393:0.824414:0.000000
6:@0.710022:0.773429:0.715738:0.773429:0.715738:0.762971:0.710022:0.762971:0.000000
4:@0.710022:0.791299:0.715738:0.791299:0.715738:0.780841:0.710022:0.780841:0.000000
2:@0.710022:0.809168:0.715738:0.809168:0.715738:0.798710:0.710022:0.798710:0.000000
–2:@0.704165:0.844901:0.715738:0.844901:0.715738:0.834443:0.704165:0.834443:0.000000:0.000000
–4:@0.704165:0.862772:0.715738:0.862772:0.715738:0.852314:0.704165:0.852314:0.000000:0.000000
2:@0.742476:0.834872:0.748192:0.834872:0.748192:0.824414:0.742476:0.824414:0.000000
–2:@0.691170:0.834872:0.702743:0.834872:0.702743:0.824414:0.691170:0.824414:0.000000:0.000000
–4:@0.667450:0.834872:0.679023:0.834872:0.679023:0.824414:0.667450:0.824414:0.000000:0.000000
–6:@0.643729:0.834872:0.655302:0.834872:0.655302:0.824414:0.643729:0.824414:0.000000:0.000000
–8:@0.620009:0.834872:0.631582:0.834872:0.631582:0.824414:0.620009:0.824414:0.000000:0.000000
–10:@0.593431:0.834872:0.610720:0.834872:0.610720:0.824414:0.593431:0.824414:0.000000:0.000000:0.000000
4:@0.766184:0.834872:0.771901:0.834872:0.771901:0.824414:0.766184:0.824414:0.000000
6:@0.789905:0.834872:0.795621:0.834872:0.795621:0.824414:0.789905:0.824414:0.000000
8:@0.813625:0.834872:0.819341:0.834872:0.819341:0.824414:0.813625:0.824414:0.000000
10:@0.834487:0.834872:0.845920:0.834872:0.845920:0.824414:0.834487:0.824414:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000