negative number question

[William]

If is negative, which of the following statements could be true?

(I).

(II).

(III).


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

Thanks!

[Thomas]

Statement (I) could be true since and if both a and b are negative then .

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 then is negative.

So, statement (II) can also be true.

Therefore the correct answer is (D).

[William]

thanks for your answer!