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CA Foundation · Quantitative Aptitude · Linear Inequalities

Which of the following is the solution set of the inequality -3x + 7 > 22, where x is a real number?

The solution is x < -5. Subtracting 7 from both sides gives -3x > 15, and dividing by the negative number -3 reverses the inequality sign, so x becomes less than -5. Forgetting to flip the sign would wrongly give x > -5.

  1. Ax < -5Correct
  2. Bx > -5
  3. Cx < 5
  4. Dx > 5

Explanation

Subtract 7 from both sides to get -3x > 15. Dividing by -3 reverses the inequality sign, so x < -5. Choosing x > -5 is the common mistake of forgetting to reverse the sign when dividing by a negative number.

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