SAT Math Multiple Choice Question 398: Answer and Explanation

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Test Information

Question: 398

8.

Which inequality symbol would make the above statement true?

  • A. ≤
  • B. ≥
  • C. <
  • D. >

Correct Answer: D

Explanation:

D

Difficulty: Medium

Category: Heart of Algebra / Inequalities

Strategic Advice: There is an open dot on the number line, which means the sign must be < or >, so you can eliminate A and B.

Getting to the Answer: To decide between C and (D), you don't even need to solve the equation. Instead, look at the shading. The graph is shaded to the left, which means the graph shows a < -4. However, there is a negative sign in front of the a term, so the inequality will be reversed at some point in the solution, which means the original inequality sign must have been >. The correct answer is (D). You can check your answer by solving the inequality using the sign you chose. If you chose correctly, your answer should match the graph.

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