SAT Math Multiple Choice Question 483: Answer and Explanation

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Question: 483


The figure above shows the solution set for the system . Which of the following is not a solution to the system?

  • A. (0, 3)
  • B. (1, 2)
  • C. (2, 4)
  • D. (3, 3)

Correct Answer: D



Difficulty: Easy

Category: Heart of Algebra / Inequalities

Strategic Advice: The intersection (overlap) of the two shaded regions is the solution to the system of inequalities. Check each point to see whether it lies in the region with the darkest shading. Don't forget to check that you answered the right question—you are looking for the point that is not a solution to the system.

Getting to the Answer: Each of the first three points clearly lies in the overlap. The point (3, 3) looks like it lies on the dashed line, which means it is not included in the solution. To check this, plug (3, 3) into the easier inequality: 3 ≯ 3 (3 is equal to itself, not greater than itself), so (D) is correct.

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