If |2x - 3| < 7, what is the range of possible values for x?

A -2 < x < 5

B -5 < x < 2

C x < -2 or x > 5

D x < -5 or x > 2

✓ Correct Answer: Option A

The inequality |2x - 3| < 7 can be written as -7 < 2x - 3 < 7. Adding 3 to all parts gives -4 < 2x < 10. Dividing by 2 yields -2 < x < 5.

💡 Why is A) the correct answer?

The correct answer to the question "If |2x - 3| < 7, what is the range of possible values for x?" is Option A: -2 < x < 5.

The other options — B) -5 < x < 2, C) x < -2 or x > 5, D) x < -5 or x > 2 — are incorrect for this GRE Exam Prep question. As explained above: The inequality |2x - 3| < 7 can be written as -7 < 2x - 3 < 7. Adding 3 to all parts gives -4 < 2x < 10. Dividing by 2 yields -2 < x < 5.

📚 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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If |2x - 3| < 7, what is the range of possible values for x?

✓ Correct Answer: Option A

📚 About This GRE Exam Prep Practice Question

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