For all integers , |-b| is equivalent to which of the following:
(A) b
(B) -b
(C) √(b2)
(D) -|b|
(E) -(-b)
The correct answer is C. Wait! You object. The absolute value of anything is always positive, so the answer must be A (or E), you argue. Well, b is not necessarily positive. The variable b also could be negative. If b = -2, then |-(-2)| = 2. But 2 is not equivalent to b, which is -2. The only answer choice that always works, meaning it is equivalent, is answer choice C.
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