CA Foundation · Quantitative Aptitude · Linear Inequalities
If p > q and m < 0, which of the following must be true for real numbers p, q and m?
The correct statement is pm < qm. When both sides of an inequality are multiplied by a negative number, the inequality sign reverses. Since p is greater than q and m is negative, the product pm becomes smaller than qm.
- Apm > qm
- Bpm < qmCorrect
- Cp + m < q + m
- Dp/m > q/m
Explanation
Multiplying both sides of an inequality by a negative number reverses its direction. Since p > q and m < 0, pm < qm. Option 1 keeps the original direction, so it is wrong. Adding m to both sides does not change direction, so p + m > q + m, making option 3 wrong.
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