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CA Foundation · Quantitative Aptitude · Linear Inequalities

For real x, which inequality has the solution set x > 4?

The inequality 3 − 2x < −5 has the solution x > 4. Subtracting 3 gives −2x < −8, and dividing by −2 reverses the sign to give x > 4. The other options give x < 4 or x < 1.

  1. A3 − 2x < −5Correct
  2. B3 − 2x > −5
  3. C2x − 3 < 5
  4. D5 − 2x > 3

Explanation

Solve option 1: 3 − 2x < −5 gives −2x < −8. Dividing by −2 reverses the sign, so x > 4. Option 2 gives x < 4. Option 3 gives 2x < 8, so x < 4. Option 4 gives −2x > −2, so x < 1. Only option 1 gives x > 4.

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