Solve the absolute value inequality |2x + 3| ≥ 5.

A -4 ≤ x ≤ 1

B x ≥ 1 or x ≤ -4

C x ≥ 1

D x ≤ -4

✓ Correct Answer: Option B

For |A| ≥ B, we have A ≥ B or A ≤ -B. So, 2x + 3 ≥ 5 or 2x + 3 ≤ -5. Solving the first: 2x ≥ 2 => x ≥ 1. Solving the second: 2x ≤ -8 => x ≤ -4. Thus, x ≥ 1 or x ≤ -4.

💡 Why is B) the correct answer?

The correct answer to the question "Solve the absolute value inequality |2x + 3| ≥ 5." is Option B: x ≥ 1 or x ≤ -4.

The other options — A) -4 ≤ x ≤ 1, C) x ≥ 1, D) x ≤ -4 — are incorrect for this CLEP Exam Prep question. As explained above: For |A| ≥ B, we have A ≥ B or A ≤ -B. So, 2x + 3 ≥ 5 or 2x + 3 ≤ -5. Solving the first: 2x ≥ 2 => x ≥ 1. Solving the second: 2x ≤ -8 => x ≤ -4. Thus, x ≥ 1 or x ≤ -4.

📚 About This CLEP Exam Prep Practice Question

This 3-level CLEP Exam Prep question from the College Algebra 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 CLEP Exam Prep practice test or use flashcards for spaced repetition review.

Practice CLEP Exam Prep Quizzes → Browse All Questions Study Flashcards

Solve the absolute value inequality |2x + 3| ≥ 5.

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

Related CLEP Exam Prep Questions