SAT Math Multiple Choice Question 73: Answer and Explanation

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Question: 73

13. -2y ≤ 8
y - 3 ≤ x
-y + 1 ≥ x

Which of the following graphs shows the solution to the system of inequalities above?

  • A.
  • B.
  • C.
  • D.

Correct Answer: A


A All of the answers have the same lines graphed, so this question is really about the shading. Plugging In is probably the easiest way to approach this problem. Start with (0, 0) because this is an easy value to check. This works in all three equations since 0 ≤ 8, -3 ≤ 0, and 1 ≥ 0. Therefore, this value needs to be shaded as a possible answer. Eliminate (B), (C), and (D) because they do not include this point. The correct answer is (A).

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