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 220017

Question

The solution of x² − 5x + 6 < 0 is:
  1. A
    x < 2 or x > 3
  2. B
    2 < x < 3
    Correct
  3. C
    x > 3
  4. D
    x < 2

Correct answer

2 < x < 3

Explanation

x² − 5x + 6 = (x−2)(x−3). The quadratic is negative between the roots: 2 < x < 3.