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Question 220016
JEE Mathematics · Easy

Quadratic Equations and Inequalities: Sign chart MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Sign chartEasyQuestion 220016

Question

The solution set of (x−1)(x−3) > 0 is:
  1. A
    1 < x < 3
  2. B
    x < 1 or x > 3
    Correct
  3. C
    x ≤ 1 or x ≥ 3
  4. D
    1 ≤ x ≤ 3

Correct answer

x < 1 or x > 3

Explanation

The product is positive when both factors are positive (x > 3) or both negative (x < 1). Solution: (−∞, 1) ∪ (3, ∞).

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