Is |x-z|>|x-y|
1) |z|>|y|
2) 0>x
My solution was as follows:
the original equation will give us 2 results:
a) x-z>x-y => x-z-x+y>0 => y+z>0.
b) -x+z>-x+y => -x+z+x-y>0 => z-y>0.
Now Statement 1 will satisfy both these conditions, so my answer is Statement 1 is enough to answer the question.
Statement 2 by itself is of no help.
The Answer however is E.
Could someone please help me out with this. I always get confused with Absolute Value questions.
Should i instead take numbers and work out such problems.
Thanks
1) |z|>|y|
2) 0>x
My solution was as follows:
the original equation will give us 2 results:
a) x-z>x-y => x-z-x+y>0 => y+z>0.
b) -x+z>-x+y => -x+z+x-y>0 => z-y>0.
Now Statement 1 will satisfy both these conditions, so my answer is Statement 1 is enough to answer the question.
Statement 2 by itself is of no help.
The Answer however is E.
Could someone please help me out with this. I always get confused with Absolute Value questions.
Should i instead take numbers and work out such problems.
Thanks
