College of Admission Tests Multan

Inequalities

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 5

Solve for x: 7 < X – 5 < 15
  • 20 < x < 12
  • 20 < x
  • X < 12
  • 12 < x < 20

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Correct Answer: D

7 < X – 5 < 15

First Solve left inequality

7 < x - 5 ⇒ 12 < x

i.e.; x >12       I

Now solve right inequality

x - 5 < 15

x < 20       II

By combining I and II we have 12 < x < 20