Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Quadratic Equations and Inequalities/
Question 220020
JEE Mathematics · Medium

Quadratic Equations and Inequalities: Product inequality MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Product inequalityMediumQuestion 220020

Question

The solution of x(x−1)(x−2) > 0 is:
  1. A
    0 < x < 1 or x > 2
    Correct
  2. B
    x < 0 or 1 < x < 2
  3. C
    x > 2
  4. D
    (−∞, 0) ∪ (1, 2)

Correct answer

0 < x < 1 or x > 2

Explanation

Sign chart for x(x−1)(x−2): − on (−∞,0), + on (0,1), − on (1,2), + on (2,∞). Positive: (0,1) ∪ (2,∞).

Review Quadratic Equations and Inequalities notesStart timed chapter practice