Solve for x: |2x + 1| = 7.

A x = 3 only

B x = -4 only

C x = 3 or x = -4

D No solution

✓ Correct Answer: Option C

An absolute value equation |A| = B means A = B or A = -B. So, 2x + 1 = 7 or 2x + 1 = -7. Solving these gives 2x = 6 (x=3) and 2x = -8 (x=-4). Both solutions are valid.

💡 Why is C) the correct answer?

The correct answer to the question "Solve for x: |2x + 1| = 7." is Option C: x = 3 or x = -4.

The other options — A) x = 3 only, B) x = -4 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, 2x + 1 = 7 or 2x + 1 = -7. Solving these gives 2x = 6 (x=3) and 2x = -8 (x=-4). Both solutions are valid.

📚 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 for x: |2x + 1| = 7.

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

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