Determine graphically the solution set for the system of inequalities.

Question

Quizplus · Accepted Answer

The inequalities represent half-planes ($y\geq 2x-3$ is the region above the line with slope $2$ passing through $(0,-3)$, and $y\leq -\frac{1}{3}x+2$ is the region below the line with slope $-\frac{1}{3}$ passing through $(0,2)$). The solution set is the intersection of both half-planes, which is the shaded region below the red line and above the blue line, as shown in choice B.

Determine Graphically the Solution Set for the System of Inequalities