Question

Which of the following inequalities is represented by the following graph?

Answer 1

I'll call the answer options A, B, C, and D, in that order from top to bottom. The line is a dotted line, so the inequality cannot be a greater/less than or equal to. Thus the answer choices B and D are eliminated. According to the graph, the point (0,0) is one of the possible solutions of the inequality. So, just substitute (0,0) into the inequalities for A and C. For C, you get 0 < -3, which is not true, so C is wrong. For A, you get 0 > -3. This is true, so the correct answer must be A, or y > -2x - 3