CAT 2021 Slot 1 QA Q1 Inequalities & Modulus

Question 1 of the Quantitative Ability (QA) section, CAT 2021 Slot 1, with CAT's official answer.

f(x) = \(\frac{x^{2}+2 x-15}{x^{2}-7 x-18}\) is negative if and only if
  1. A
    -5 < x < -2 or 3 < x < 9
  2. B
    -2 < x < 3 or x > 9
  3. C
    x < -5 or 3 < x < 9
  4. D
    x < -5 or -2 < x < 3

Answer: (A) -5 < x < -2 or 3 < x < 9 Inequalities & Modulus MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.