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CA Foundation · Quantitative Aptitude · Linear Inequalities

If x is a real number and 4 − 5x < 24, which of the following gives the solution set?

The solution is x > −4. Subtracting 4 gives −5x < 20, and dividing both sides by the negative number −5 reverses the inequality sign, so x is greater than −4. Not reversing the sign would wrongly give x < −4.

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

Explanation

Subtract 4 from both sides: −5x < 20. Dividing by −5 reverses the inequality, so x > −4. Option x < −4 results from forgetting to reverse the sign.

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