Solve the inequality: x² - x - 6 > 0

A (-2, 3)

B (-∞, -2) U (3, ∞)

C (-3, 2)

D (-∞, -3) U (2, ∞)

✓ Correct Answer: Option B

Factor the quadratic to (x-3)(x+2). The critical points are x = -2 and x = 3. Testing intervals shows the expression is positive for x < -2 or x > 3.

💡 Why is B) the correct answer?

The correct answer to the question "Solve the inequality: x² - x - 6 > 0" is Option B: (-∞, -2) U (3, ∞).

The other options — A) (-2, 3), C) (-3, 2), D) (-∞, -3) U (2, ∞) — are incorrect for this CLEP Exam Prep question. As explained above: Factor the quadratic to (x-3)(x+2). The critical points are x = -2 and x = 3. Testing intervals shows the expression is positive for x < -2 or x > 3.

📚 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: x² - x - 6 > 0

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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