For which of the following inequalities is the solution set represented by the interval [-3, 5]?

A |x - 1| ≤ 4

B |x + 1| ≤ 4

C |x - 2| ≤ 3

D |x + 2| ≤ 3

✓ Correct Answer: Option A

The midpoint of the interval [-3, 5] is ((-3) + 5) / 2 = 1. The distance from the midpoint to either endpoint is 5 - 1 = 4. Therefore, the inequality is of the form |x - midpoint| ≤ distance, which is |x - 1| ≤ 4.

💡 Why is A) the correct answer?

The correct answer to the question "For which of the following inequalities is the solution set represented by the interval [-3, 5]?" is Option A: |x - 1| ≤ 4.

The other options — B) |x + 1| ≤ 4, C) |x - 2| ≤ 3, D) |x + 2| ≤ 3 — are incorrect for this GRE Exam Prep question. As explained above: The midpoint of the interval [-3, 5] is ((-3) + 5) / 2 = 1. The distance from the midpoint to either endpoint is 5 - 1 = 4. Therefore, the inequality is of the form |x - midpoint| ≤ distance, which i…

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This 3-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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For which of the following inequalities is the solution set represented by the interval [-3, 5]?

✓ Correct Answer: Option A

📚 About This GRE Exam Prep Practice Question

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