BTGmoderatorDC wrote:If a < b, is a < c?

(1) (a)(c) = 0
(2) a + b = 0

OA C

Source: EMPOWERgmat

Let's take each statement one by one.

(1) (a)(c) = 0

=> At least one between a and c is 0.

If a = 0, we see that c can be positive or negative. Thus, we cannot determine whether a < c. Insufficient.

(2) a + b = 0

Since a < b, a and b cannot be 0. Thus, a is negative and b is positive. However, since we do not have any information about c, we cannot conclude whether a < c. Insufficient.

(1) and (2) together

From (2), we know that a is negative; thus from (1), we must have c = 0. Thus, a < c. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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