Is ¦x - y¦>¦x - z¦?
(1) ¦y¦>¦z¦
(2) x < 0
in order to conclude that |x-y|>|x-z| or not, we need to know that if quantity inside |x-y| is greater than that inside |x-z| or not. now that is influenced by two factors.
i)the actual quantity of y and z
ii)the sign (+or-) of x,y and z.
this is because we do not know if x,y and z are integers or natural numbers or positive or negative. Genearally if x is common to x-y and x-z the answer depends on if Y > Z or not. say if X is 5 , Y is 3 and Z is 2, the answer could be found from statement 1 itself. But we have to take the negative sign too.
if X is -5 the result wud change. so A alone is insufficient.
if we take the second statement it says, in effect, x is negative. But wat abt Y and Z? so B alone is insufficient.
if we combine these, it is still insufficient as Y and Z may be positive or negative which will alter the final result significantly.
Hence E
hope this helps
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