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CA Foundation · Quantitative Aptitude · Linear Inequalities

The solution set of the inequality (2x − 3)/(−4) ≥ 5, where x is real, is:

The solution is x ≤ −8.5. Multiplying both sides by −4 reverses the inequality, giving 2x − 3 ≤ −20. Adding 3 gives 2x ≤ −17, and dividing by 2 gives x ≤ −8.5.

  1. Ax ≥ −8.5
  2. Bx ≤ −8.5Correct
  3. Cx ≤ 11.5
  4. Dx ≥ 11.5

Explanation

Multiply both sides by −4 and reverse the sign: 2x − 3 ≤ −20. So 2x ≤ −17 and x ≤ −8.5. Option 4 results from forgetting to reverse the sign and solving 2x − 3 ≥ 20 incorrectly.

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