CAT 2017 Slot 2 QA Q32 Inequalities & Modulus

Question 32 of the Quantitative Ability (QA) section, CAT 2017 Slot 2, with CAT's official answer.

Let f(x) = 2x – 5 and g(x) = 7 – 2x. Then |f(x) + g(x)| = |f(x)| + |g(x)| if and only if
  1. A
    \(\frac{5}{2}\) < x < \(\frac{7}{2}\)
  2. B
    x ≤ \(\frac{5}{2}\) or x ≥ \(\frac{7}{2}\)
  3. C
    x < \(\frac{5}{2}\) or x ≥ \(\frac{7}{2}\)
  4. D
    \(\frac{5}{2}\) ≤ x ≤ \(\frac{7}{2}\)

Answer: (D) 5/2 ≤ x ≤ 7/2 Inequalities & Modulus MCQ

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Same concept in other years

See every question on Sums of |x − a|: distance on the number line.

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