Question

Which description matches the graph of the inequality y ≥ |x + 2| – 3? a shaded region above a solid boundary line a shaded region below a solid boundary line a shaded region below a dashed boundary line a shaded region above a dashed boundary line

Answer 1

The given inequality is y ≥ |x + 2| -3.

This inequality may be written two ways:
(a) y ≥ x + 2 - 3
    or
    y ≥ x - 1

(b) y ≥ -x -2 - 3
    or
     y ≥ -x - 5

A graph of the inequality is shown below. The shaded region satisfies the inequality.

Answer: A shaded region above a solid boundary line.