Graphs of Linear Inequalities

Graph of two inequalities

The overlapping shaded area is the final solution to the system of linear inequalities because it is comprised of all possible solutions to $y<-\frac{1}{2}x+1$ (the dotted red line and red area below the line) and $y\geq x-2$ (the solid green line and the green area above the line). The origin is a solution to the system, but the point $(3,0)$ is not.

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"Original figure by Julien Coyne. Licensed CC BY-SA 4.0."

Julien Coyne CC BY-SA 3.0.

Graphs of Linear Inequalities

Graph of two inequalities

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