|X| is always a positive number. If X is positive, |X| = X, but if X is negative, |X| = -X. And Yes, |0| = 0.gmatusa2010 wrote:Is |X|= A-B?
1) X=A-B
2) X=B-A
Still trying to understand the logic if absolute value DS.
Statement 1:
X = A - B
If A - B is a positive number then its modulus, i.e. |X| = |A - B| = A - B, but if A - B is a negative number then |X| = |A - B| = B - A.
INSUFFICIENT, because we do not not if A - B is positive or not.
Statement 2:
X = B - A.
|X| = |B - A| = B - A if B - A is positive and |X| = |B - A| = A - B if B - A is negative.
INSUFFICIENT. We do not know is B - A is positive or negative.
Combining,
X = A - B as well as B - A, which is the negative of A - B.
When can that happen?
when A = B, or X = 0.
Is |X| = A - B?
X = 0, so is |X|.
A - B is also equal to 0.
So, 0 = 0.
Sufficient.
I'll go with [spoiler][C][/spoiler]