Solve the inequality: x² - 5x + 6 < 0

A x < 2 or x > 3

B 2 < x < 3

C x > 3

D x < 2

✓ Correct Answer: Option B

Factor the quadratic to (x - 2)(x - 3) < 0. The critical points are x = 2 and x = 3. Testing intervals shows that the inequality holds true for values of x between 2 and 3.

💡 Why is B) the correct answer?

The correct answer to the question "Solve the inequality: x² - 5x + 6 < 0" is Option B: 2 < x < 3.

The other options — A) x < 2 or x > 3, C) x > 3, D) x < 2 — are incorrect for this CLEP Exam Prep question. As explained above: Factor the quadratic to (x - 2)(x - 3) < 0. The critical points are x = 2 and x = 3. Testing intervals shows that the inequality holds true for values of x between 2 and 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 - 5x + 6 < 0

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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