Solve the inequality x^2 - x - 12 < 0.

A x < -3 or x > 4

B -4 < x < 3

C -3 < x < 4

D x < -4 or x > 3

✓ Correct Answer: Option C

Factor the quadratic as (x-4)(x+3) < 0. The critical points are x=-3 and x=4. Test intervals to find where the expression is negative. The interval (-3, 4) satisfies the inequality.

💡 Why is C) the correct answer?

The correct answer to the question "Solve the inequality x^2 - x - 12 < 0." is Option C: -3 < x < 4.

The other options — A) x < -3 or x > 4, B) -4 < x < 3, D) x < -4 or x > 3 — are incorrect for this CLEP Exam Prep question. As explained above: Factor the quadratic as (x-4)(x+3) < 0. The critical points are x=-3 and x=4. Test intervals to find where the expression is negative. The interval (-3, 4) satisfies the inequality.

📚 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 inequality x^2 - x - 12 < 0.

✓ Correct Answer: Option C

📚 About This CLEP Exam Prep Practice Question

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