Write an inequality for the shaded region shown in the figure.

Question

Quizplus · Accepted Answer

The shaded region is bounded from below by the x-axis, from the left by the line x=-2, and from the right by the line x=1. Therefore, the x-values of the shaded region are in the interval [-2,1]. The shaded region is bounded from above by the graph of y=-2x+2, so the y-values of the shaded region satisfy y≤-2x+2. Therefore, the inequality that represents the shaded region is -2x+2 ≥ y ≥ 0, or y ≤ -2x + 2 and y ≥ 0. This is option B.

Write an Inequality for the Shaded Region Shown in the Figure