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Inequality

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Source: — Data Sufficiency |
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by liferocks » Tue May 11, 2010 10:31 pm
We have 3 unknowns and relation is given for only 2..this cannot be solved

Ans option E
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by ballubalraj » Tue May 11, 2010 10:40 pm
|x-y|>|x-z| will be true for following conditions:
a. When x is positive and y < z
b. When x is negative and y > z

Stmt 1: |y|>|z|; does not tell anything about the sign of x and both y< z and y > z are possible. Hence, it is not sufficient.
Stmt 2: x < 0; does not tell anything about the reltionship between y and z. Hence it is not sufficient.

Both statements together: we know that x is negative but both y< z and y > z are possible. Hence not sufficient.

Answer: E
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by ballubalraj » Tue May 11, 2010 10:44 pm
As Liferocks mentioned, can we always skip the calculations when we have fewer relations than the unknowns?
Is there any particular condition/case to be taken care before jumping into this conclusion?
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