Which of the following inequalities has the solution set {x | -2 < x < 5}?

A |x - 1.5| < 3.5

B |x - 2| < 5

C |2x - 3| < 7

D |x + 3| < 2

✓ Correct Answer: Option C

The solution set -2 < x < 5. For option C: |2x - 3| < 7 means -7 < 2x - 3 < 7. Adding 3 to all parts gives -4 < 2x < 10. Dividing by 2 yields -2 < x < 5, which matches the given solution set.

💡 Why is C) the correct answer?

The correct answer to the question "Which of the following inequalities has the solution set {x | -2 < x < 5}?" is Option C: |2x - 3| < 7.

The other options — A) |x - 1.5| < 3.5, B) |x - 2| < 5, D) |x + 3| < 2 — are incorrect for this GMAT Exam Prep question. As explained above: The solution set -2 < x < 5. For option C: |2x - 3| < 7 means -7 < 2x - 3 < 7. Adding 3 to all parts gives -4 < 2x < 10. Dividing by 2 yields -2 < x < 5, which matches the given solution set.

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT 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 GMAT Exam Prep practice test or use flashcards for spaced repetition review.

Practice GMAT Exam Prep Quizzes → Browse All Questions Study Flashcards

Which of the following inequalities has the solution set {x | -2 < x < 5}?

✓ Correct Answer: Option C

📚 About This GMAT Exam Prep Practice Question

Related GMAT Exam Prep Questions