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Question 220019
JEE Mathematics · Medium

Quadratic Equations and Inequalities: Rational inequality MCQ

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Rational inequalityMediumQuestion 220019

Question

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

Correct answer

x < −2 or x > 1

Explanation

The fraction is positive when numerator and denominator have the same sign. Both positive: x > 1. Both negative: x < −2. Answer: (−∞, −2) ∪ (1, ∞). Note x ≠ −2.

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