Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Quadratic Equations and Inequalities/
Question 220018
JEE Mathematics · Medium

Quadratic Equations and Inequalities: Absolute inequality MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Absolute inequalityMediumQuestion 220018

Question

|x − 2| < 3 is equivalent to:
  1. A
    −1 < x < 5
    Correct
  2. B
    x < −1 or x > 5
  3. C
    −3 < x < 3
  4. D
    x > 5

Correct answer

−1 < x < 5

Explanation

|x−2| < 3 → −3 < x−2 < 3 → −1 < x < 5.

Review Quadratic Equations and Inequalities notesStart timed chapter practice