GMAT Quantitative Reasoning Practice Test 6

From statement (1) we know that one is positive and the other is negative, therefore their product is negative. (0.5) negative = a number bigger than 1 . This statement is sufficient to answer the question. From statement (2) we know the answer also. This is a tricky part.
Try all the options: $(-2$ and -1$),(-1$ and 0$),(0$ and 1$),(1$ and 2$)$.
All of these options give out $\mathit{A}\mathit{B}$ that is positive or equal to zero, in both cases ( 0.5$)\mathit{A}\mathit{B}$ will be either smaller than 1 or equal to 1 but never bigger. Therefore, each statement by itself is sufficient.