Solve the rational inequality: (x - 1) / (x + 3) ≤ 0.

A x < -3 or x ≥ 1

B -3 < x ≤ 1

C x ≤ -3 or x ≥ 1

D x ≤ 1

✓ Correct Answer: Option B

The critical points are x = 1 (numerator zero) and x = -3 (denominator zero). Test intervals: for x < -3, both numerator and denominator are negative, so the fraction is positive. For -3 < x < 1, the numerator is negative and the denominator is positive, so the fraction is negative. For x > 1, both are positive. The inequality is satisfied when -3 < x ≤ 1. Note x cannot be -3.

💡 Why is B) the correct answer?

The correct answer to the question "Solve the rational inequality: (x - 1) / (x + 3) ≤ 0." is Option B: -3 < x ≤ 1.

The other options — A) x < -3 or x ≥ 1, C) x ≤ -3 or x ≥ 1, D) x ≤ 1 — are incorrect for this CLEP Exam Prep question. As explained above: The critical points are x = 1 (numerator zero) and x = -3 (denominator zero). Test intervals: for x < -3, both numerator and denominator are negative, so the fraction is positive. For -3 < x < 1, the…

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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 rational inequality: (x - 1) / (x + 3) ≤ 0.

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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