Inequalities

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Source: — Data Sufficiency |

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by aneesh.kg » Thu May 10, 2012 1:08 am
Statement(1):
(x - y)^2 > 0
This is always the case except when x = y. so x > y or x < y.
INSUFFICIENT.

Statement(2):
clearly, INSUFFICIENT.

Let's combine.
If y > 0 and (x - y)^2, we can still have x > y and x < y.
You can also take the case of y = 5, x = 3 and y = 5 , x = 7 to be more sure.

[spoiler](E)[/spoiler] is the answer.
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by GmatKiss » Thu May 10, 2012 1:19 am
IMO: E

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by GmatKiss » Thu May 10, 2012 1:21 am
IMO: E

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by GMATGuruNY » Thu May 10, 2012 3:57 am
karthikpandian19 wrote:Is x > y ?
(I) (x - y)(x - y) > 0
(II) y > 0
Rephrase the question stem so that it resembles the information given in the statements.

Is x-y > 0?

Statement 1: (x-y)² > 0.
Statement 2: y>0.

Even when the statements are combined, it's possible for x-y to be any positive or negative value.

The correct answer is E.
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