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William
10-28-2013, 05:58 PM
If a-b is negative, which of the following statements could be true?

(I). a<b<0

(II). a<0<b

(III). a>b>0


(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

Thanks!

Thomas
10-28-2013, 05:58 PM
Statement (I) could be true since a-b<0 \Rightarrow a<b and if both a and b are negative then a-b<0.

So, we can eliminate each choice doesn’t contain statement (I), (B), (C) and (E).

Next we will examine the correctness of statement (II)

Given that a<0 <b then a-b is negative.

So, statement (II) can also be true.

Therefore the correct answer is (D).

William
10-28-2013, 05:59 PM
thanks for your answer!