What is the solution set for the inequality |2x - 5| < 3?

A x < 4

B x > 1

C 1 < x < 4

D x < 1 or x > 4

✓ Correct Answer: Option C

The inequality |2x - 5| < 3 can be rewritten as a compound inequality: -3 < 2x - 5 < 3. Add 5 to all parts: -3 + 5 < 2x < 3 + 5, which simplifies to 2 < 2x < 8. Finally, divide by 2: 1 < x < 4.

💡 Why is C) the correct answer?

The correct answer to the question "What is the solution set for the inequality |2x - 5| < 3?" is Option C: 1 < x < 4.

The other options — A) x < 4, B) x > 1, D) x < 1 or x > 4 — are incorrect for this GRE Exam Prep question. As explained above: The inequality |2x - 5| < 3 can be rewritten as a compound inequality: -3 < 2x - 5 < 3. Add 5 to all parts: -3 + 5 < 2x < 3 + 5, which simplifies to 2 < 2x < 8. Finally, divide by 2: 1 < x < 4.

📚 About This GRE Exam Prep Practice Question

This 2-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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What is the solution set for the inequality |2x - 5| < 3?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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