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Need Help |x-z| > |x-y|

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Source: — Data Sufficiency |
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by Makushr1 » Sat Aug 21, 2010 12:24 pm
dipti.ch12 wrote:Hi everyone,

Could you please help me with the attached problem.
Its a DS problem.
Source :800 Score
OA later.
1)
The absolute value of z is greater than absolute y, but since the question is lx-zl, we have to know what the actual value is, not the absolute.

2) insuff, doesnt tell us anything about z or y.

Both together insuff because:

x=-2
y=3
z=4
|-2-4| < |-2-3|
or
x-2
y3
z-100
|-2-(-100)| > |-2-3|
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by adi_800 » Sat Aug 21, 2010 11:30 pm
Square d two parts..so dat mod sign goes off...
Is (x-z)^2 > (x-y)^2?
Is x^2-2xz+z^2 > x^2-2xy+y^2?
Is -2xz+z^2>y^2-2xy?
Is z^2-y^2>2xz-2xy?
Is (z+y)(z-y) > 2x(z-y)?

You can not solve this eqn by given two statements..IMO E.
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by dipti.ch12 » Sun Aug 22, 2010 10:20 am
Thanks all .

OA is E
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