Solve the absolute value inequality: |3x - 1| ≥ 5?

A x ≥ 2 or x ≤ -4/3

B x ≥ 2

C -4/3 ≤ x ≤ 2

D x ≤ -4/3

✓ Correct Answer: Option A

For |u| ≥ c, we have u ≥ c or u ≤ -c. So, 3x - 1 ≥ 5 or 3x - 1 ≤ -5. Solving the first gives 3x ≥ 6, so x ≥ 2. Solving the second gives 3x ≤ -4, so x ≤ -4/3.

💡 Why is A) the correct answer?

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

The other options — B) x ≥ 2, C) -4/3 ≤ x ≤ 2, D) x ≤ -4/3 — are incorrect for this CLEP Exam Prep question. As explained above: For |u| ≥ c, we have u ≥ c or u ≤ -c. So, 3x - 1 ≥ 5 or 3x - 1 ≤ -5. Solving the first gives 3x ≥ 6, so x ≥ 2. Solving the second gives 3x ≤ -4, so x ≤ -4/3.

📚 About This CLEP Exam Prep Practice Question

This 2-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.

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Solve the absolute value inequality: |3x - 1| ≥ 5?

✓ Correct Answer: Option A

📚 About This CLEP Exam Prep Practice Question

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