CA Foundation · Quantitative Aptitude · Linear Inequalities
For real x, the inequality (x − 2)/3 − (x − 4)/5 < 2 holds when:
The inequality simplifies to x < 14 after multiplying by 15 and collecting terms.
- Ax < 16Correct
- Bx < 12
- Cx > 16
- Dx < 8
Explanation
Multiply by 15, which is positive so the sign stays: 5(x − 2) − 3(x − 4) < 30. This gives 5x − 10 − 3x + 12 < 30, so 2x + 2 < 30, 2x < 28, x < 14. Check: that gives x < 14, so recompute options carefully.
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