If ZY<XY<0 , is |X-Z|+|X|=|Z|
1. Z is less than X
2. Y is greater than 0
Got B, but not really sure.
Is |X-Z| + |X| = |Z| ?
Knowing this, we know that X-Z > 0
X-Z + |X| = |Z|
From this, we have no idea if X or Z is positive or negative.
Say if X and Z are both negative
X-Z - X = -Z => X-Z = X-Z Yes!
Say if X and Z are both positive
X-Z + X = Z => X-Z = Z-X No!
(2) Knowing Y is greater than 0, both X and Z must be negative.
Using this, find two cases of |X-Z|
First case, X-Z > 0; thus, X>Z, we have
X-Z - X = -Z => X-X = -Z + Z Yes!
Second case, X-Z < 0; thus, X<Z, we have
-X+Z - X = -Z => -2X = -2Z => X=Z. This cannot be true due to the condition.