Solve the rational equation: 3/(x-2) = 4/(x+1).

A x = 5

B x = 11

C x = -5

D x = -11

✓ Correct Answer: Option B

Cross-multiply: 3(x+1) = 4(x-2). Distribute: 3x + 3 = 4x - 8. Subtract 3x from both sides: 3 = x - 8. Add 8 to both sides: x = 11.

💡 Why is B) the correct answer?

The correct answer to the question "Solve the rational equation: 3/(x-2) = 4/(x+1)." is Option B: x = 11.

The other options — A) x = 5, C) x = -5, D) x = -11 — are incorrect for this CLEP Exam Prep question. As explained above: Cross-multiply: 3(x+1) = 4(x-2). Distribute: 3x + 3 = 4x - 8. Subtract 3x from both sides: 3 = x - 8. Add 8 to both sides: x = 11.

📚 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 rational equation: 3/(x-2) = 4/(x+1).

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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