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CAT 2022 Slot 2 · Quant · Inequalities and Modulus · easy

How many integer values of x satisfy |2x − 3| ≤ 7?

Single correct option

How many integer values of x satisfy |2x − 3| ≤ 7?
  1. A. 6
  2. B. 7
  3. C. 8
  4. D. 9
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Answer: (C) 8

|2x−3| ≤ 7 means −7 ≤ 2x−3 ≤ 7, i.e., −4 ≤ 2x ≤ 10, i.e., −2 ≤ x ≤ 5. The integers in this range are −2, −1, 0, 1, 2, 3, 4, 5 — a total of 8 values. Count using (upper−lower+1) = (5−(−2)+1) = 8.
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Original question written in the CAT 2022 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake