Hussain15 wrote:

Is |x - y|>|x - z|?

(1) |y|>|z|

(2) x < 0

My approach is to use the distance perspective...

|x-z| represents the distance bet. x and z

|x-y| represents the distance bet. x and y

1. |y| > |z|

<-----------------------0-------z------y------->

or

<--------------y--------0------z------------->

or

<--------------y-----z---0--------------------->

or

<--------------------z----0------------y------->

But we don't know where x lies... INSUFFICIENT

2. x < 0

<-------------x----------0------------------------>

But we dont know where y and z lie... INSUFFICIENT

Combine:

scenario1: <-----------------x------0-------z------y-------> |x-z| < |x-y|

scenario2: <---------y-------x------0-------z--------------> |x-z| > |x-y|

and many more scenarios... BUT two shows that info is NOT SUFFICIENT

ANsweR: E

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