CA Foundation · Quantitative Aptitude · Linear Inequalities
For real numbers, if a > b and c > 0 but d < 0, which of the following must be true?
ad < bd must be true. Since a > b and d is negative, multiplying both sides by d reverses the inequality sign. Multiplying by a positive number preserves the sign, and adding the same number to both sides also preserves it.
- Aad > bd
- Bac < bc
- Cad < bdCorrect
- Da + d < b + d
Explanation
Multiplying both sides of a > b by a negative number d reverses the sign, so ad < bd. Multiplying by positive c keeps a sign as ac > bc, so option 2 is false. Adding d to both sides keeps a + d > b + d, so option 4 is false.
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