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CA Foundation · Quantitative Aptitude · Linear Inequalities

For the inequality 5x − 2y > 10, which of the following points lies in its solution region?

The inequality is satisfied by several of the points, so this question is flawed.

  1. A(2, 0)
  2. B(4, 3)
  3. C(1, −4)Correct
  4. D(3, 2)

Explanation

Substitute each point. (2,0): 10 > 10 false. (4,3): 20 − 6 = 14 > 10 true. (1,−4): 5 + 8 = 13 > 10 true. (3,2): 15 − 4 = 11 > 10 true. This gives more than one point, so check again: all of (4,3), (1,−4), (3,2) satisfy.

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