|x-y|>|x-z| will be true for following conditions:
a. When x is positive and y < z
b. When x is negative and y > z
Stmt 1: |y|>|z|; does not tell anything about the sign of x and both y< z and y > z are possible. Hence, it is not sufficient.
Stmt 2: x < 0; does not tell anything about the reltionship between y and z. Hence it is not sufficient.
Both statements together: we know that x is negative but both y< z and y > z are possible. Hence not sufficient.
As Liferocks mentioned, can we always skip the calculations when we have fewer relations than the unknowns?
Is there any particular condition/case to be taken care before jumping into this conclusion?