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CA Foundation · Quantitative Aptitude · Linear Inequalities

The number of integer values of x satisfying both 2x + 3 > 7 and 3x − 2 ≤ 16 is:

The first inequality gives x greater than 2 and the second gives x at most 6. The integers in this range are 3, 4, 5 and 6, so there are four integer solutions.

  1. A3Correct
  2. B4
  3. C5
  4. D2

Explanation

2x + 3 > 7 gives x > 2. 3x − 2 ≤ 16 gives x ≤ 6. Integers are 3, 4, 5, 6, which is 4 values. So the answer is 4.

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