So before we solve the inequality, note that the sign is >, not ≥. This will mean that the line will be a dashed line, not a solid line. This will eliminate Options A & C.
So to solve the inequality, just minus 2 on both sides, and your inequality is gonna be: y > -3x - 5 .
Now that we solved the inequality, we must figure out which side is shaded. To do that, use any point that isn't on the line and solve the inequality using it. The easiest point is always (0,0) so I'll be using that point.
0 > -3(0) - 5
0 > 0 - 5
0 > -5 (true)
Since the inequality was true, that means that (0,0) is going to be in the shaded area. And the only graph that has a dashed line with (0,0) as the solution is Graph D, therefore that is your answer.
