I have a question concerning the sample question on page 25 in volume 1. The question considers the equation below.
ab = | a | x | b |
The book states that ab > 0 must be true. However, unless I have a misunderstanding, it appears that if either a or b (or both) are zero, the equation is true. For example, if a = -1 and b = 0, we have...
ab = (-1)(0) = 0
| a | x | b | = 1 x 0 = 0
In this case, the equation is true, but ab = 0 (implying ab > 0 need not be true). Please let me know if I have an error in my understanding, and thanks for your time.