Question

graph the following system of inequalities on the coordinate plane and shade the resulting solution region: \\(\

$$\begin{cases} y > 2x - 3 \\\\ y \\leq -x + 4 \\end{cases}$$

\\)

Explanation:

Answer:

Graph \(y = 2x - 3\) as a dashed line (since \(y>2x - 3\)) and shade above it. Graph \(y=-x + 4\) as a solid line (since \(y\leq -x + 4\)) and shade below it. The solution region is the overlap of the two shaded regions.