Solve the inequality x^2 - x - 6 < 0.

A x < -2 or x > 3

B -3 < x < 2

C -2 < x < 3

D x < -3 or x > 2

✓ Correct Answer: Option C

Factor the quadratic: (x-3)(x+2) < 0. The critical points are x=3 and x=-2. Test intervals. The parabola opens upward, so it is negative between its roots: -2 < x < 3.

💡 Why is C) the correct answer?

The correct answer to the question "Solve the inequality x^2 - x - 6 < 0." is Option C: -2 < x < 3.

The other options — A) x < -2 or x > 3, B) -3 < x < 2, D) x < -3 or x > 2 — are incorrect for this CLEP Exam Prep question. As explained above: Factor the quadratic: (x-3)(x+2) < 0. The critical points are x=3 and x=-2. Test intervals. The parabola opens upward, so it is negative between its roots: -2 < 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 x^2 - x - 6 < 0.

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

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