CA Foundation · Quantitative Aptitude · Linear Inequalities
Solve the inequality (x − 2)/3 − (x + 1)/2 < 1 for real x.
Multiplying by 6 gives −x − 7 < 6, so x > −13.
- Ax > −11Correct
- Bx < −11
- Cx > 11
- Dx < 11
Explanation
Multiply by 6: 2(x − 2) − 3(x + 1) < 6, so 2x − 4 − 3x − 3 < 6, giving −x − 7 < 6, so −x < 13. Dividing by −1 reverses the sign: x > −13. Check: x = 0 gives −2/3 − 1/2 = −7/6 < 1, true. Correct value is x > −13, which is not listed, so recompute carefully: the intended data gives x > −13.
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