SAT Math Multiple Choice Question 393: Answer and Explanation

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Test Information

Question: 393

3.

Which of the following is a solution to the system of inequalities shown in the figure above?

  • A. (-5, 2)
  • B. (-2, 5)
  • C. (2, 5)
  • D. (5, 2)

Correct Answer: C

Explanation:

C

Difficulty: Easy

Category: Heart of Algebra / Inequalities

Strategic Advice: Algebraically, the solution to a system of inequalities is an ordered pair that satisfies both inequalities. Graphically, this means the ordered pair falls within the intersection (overlap) of the two shaded regions.

Getting to the Answer: The point (2, 5) lies within the intersection of the two shaded regions, so it is a solution to the system. None of the other points lie within the intersection.

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