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CA Foundation · Quantitative Aptitude · Linear Inequalities

For real x, the inequality (x − 3)/(−2) < 4 is satisfied when:

The solution is x > −5. Multiplying both sides by the negative number −2 reverses the inequality, giving x − 3 > −8, so x > −5. Forgetting to reverse the sign would wrongly give x < −5.

  1. Ax < −5
  2. Bx > −5Correct
  3. Cx > 11
  4. Dx < 11

Explanation

Multiply both sides by −2, which reverses the sign: x − 3 > −8. Hence x > −5. Option x < −5 comes from not reversing the sign.

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