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we will be able to solve |x-z|+|x|=|z| if we get to know the signs of x and Z. 1) z<x , this just rephrases the given information which is not useful. No infrmation is specified regarding y , so we can not deduce the sign of x or z. INSUFFICIENT.

2)y>0 given : zy<xy<0 if y > 0 , x and z must be less than 0 also z<x<0.