Systems of Linear Inequalities

Graph a system of linear inequalities (standard form)

Create the graph that represents the solutions to each system of linear inequalities.

\(\begin{cases}4x + y > 5\\x + 2y > 8\end{cases}\)

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.