Inequality

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by sanju09 » Wed Feb 23, 2011 1:37 am
SFtraveler wrote:Please show all steps and reasoning for answer...

Q: If ab<ac, which is greater, b or c?

1) a<0

2) c<0

If a b < a c, then b < c for a > 0 whereas b > c for a < 0.

(1) As mentioned earlier, if a < 0 then b > c. [spoiler]Sufficient[/spoiler]

(2) If c < 0 in a b < a c, we cannot predict anything about b's nature as a is also another factor there that establishes the inequality as it is. [spoiler]Insufficient

A
[/spoiler]
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