Is sqrt((x-3)^2) = 3-x?
(1) x ≠ 3
(2) â€“ x | x | > 0
ans is : C .
Note: in GMAT sqrt(x^2) = lxl
therefore the question is just: is lx-3l = -(x-3)? i.e. is (x-3) negative?
From 1: x ≠3. this eliminates the possibility of x-3 = 0; but it doesn't tell us if (x-3)<0
From 2: -xlxl > 0 => x<0. If x <0 than (x-3) <0. therefore sufficient.
The statement -xlxl > 0 already precludes x from being = 3. Hence, i don't understand why 1 is necessary.
I would go with B