Solve the absolute value equation: |3x + 2| = 8.

A x = 2 only

B x = -10/3 only

C x = 2 or x = -10/3

D No solution

✓ Correct Answer: Option C

An absolute value equation |A| = B means A = B or A = -B. So, 3x + 2 = 8 or 3x + 2 = -8. Solving the first gives 3x = 6, x = 2. Solving the second gives 3x = -10, x = -10/3.

💡 Why is C) the correct answer?

The correct answer to the question "Solve the absolute value equation: |3x + 2| = 8." is Option C: x = 2 or x = -10/3.

The other options — A) x = 2 only, B) x = -10/3 only, D) No solution — are incorrect for this CLEP Exam Prep question. As explained above: An absolute value equation |A| = B means A = B or A = -B. So, 3x + 2 = 8 or 3x + 2 = -8. Solving the first gives 3x = 6, x = 2. Solving the second gives 3x = -10, x = -10/3.

📚 About This CLEP Exam Prep Practice Question

This 1-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 equation: |3x + 2| = 8.

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

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