Un sistema de desigualdades consiste en dos o más desigualdades que representan las restricciones de una misma situación.
Las soluciones de un sistema de desigualdades son todos los valores de las variables que hacen que todas las desigualdades sean verdaderas.
Esta gráfica muestra un sistema de dos desigualdades. Las soluciones del sistema son todos los pares de coordenadas que hacen que ambas desigualdades sean verdaderas. En la gráfica, la solución son todos los puntos de la región donde se sobreponen las gráficas de las dos desigualdades.
A graph of two intersecting inequalities on a coordinate plane. The line x + y < 5 goes through the points 0 comma 5 and 5 comma 0. The region above the dashed line is shaded. The line 3 x - 2 y < 0 goes through the points 0 comma 0 and 4 comma 6. The region below the dashed line is shaded.
Standards Alignment
Building On
HSA-REI.C.6
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
