Solve the inequality: (x - 5) / (x + 1) < 0.

A x < -1 or x > 5

B -1 < x < 5

C x < -1

D x > 5

✓ Correct Answer: Option B

Critical points are x = 5 and x = -1. Test intervals: x < -1 (e.g., -2 gives positive), -1 < x < 5 (e.g., 0 gives negative), x > 5 (e.g., 6 gives positive). The inequality is true when -1 < x < 5.

💡 Why is B) the correct answer?

The correct answer to the question "Solve the inequality: (x - 5) / (x + 1) < 0." is Option B: -1 < x < 5.

The other options — A) x < -1 or x > 5, C) x < -1, D) x > 5 — are incorrect for this CLEP Exam Prep question. As explained above: Critical points are x = 5 and x = -1. Test intervals: x < -1 (e.g., -2 gives positive), -1 < x < 5 (e.g., 0 gives negative), x > 5 (e.g., 6 gives positive). The inequality is true when -1 < x < 5.

📚 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.

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Solve the inequality: (x - 5) / (x + 1) < 0.

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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