SAT Math Multiple Choice Question 812: Answer and Explanation

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Test Information

Question: 812

2. Which of the following numbers is not a solution to the inequality?

  • A. -8
  • B. -5
  • C. -4
  • D. -2

Correct Answer: D

Explanation:

D

Difficulty: Easy

Category: Heart of Algebra / Inequalities

Strategic Advice: Substituting each answer choice into the inequality to see if it produces a true statement is not the most time-efficient strategy here, especially due to all the negative numbers in the answer choices. Instead, use inverse operations to solve the inequality and then check the answer choices.

Getting to the Answer: Subtracting 6x and adding 5 to both sides of 6x - 9 ≥ 7x - 5 yields -4 ≥ x. Turn the solution around so it's easier to read (keep the small end of the inequality pointed toward the x): x ≤ -4. This tells you that x is a solution if and only if x is less than or equal to -4. The question asks which value is not a solution, and the only answer choice that is not less than or equal to -4 is -2, making (D) the correct answer.

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