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Inequality Question

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Source: — Data Sufficiency |
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by sourabh33 » Wed May 18, 2011 8:23 am
IMO A

Evaluating Equation 1

Given |x| ≤ y ≤ -|x|
This implies |x| ≤ -|x|
Now this is possible only when x = 0
Therefore y = 0 when 0 ≤ y ≤ 0
So Statement 1 sufficient


Evaluating Equation 2

Given |y| ≥ x ≥ -|y|
This implies |y| ≥ -|y|
Now this is possible for any value of y {-10,-1,-1/2,0,1/2,1,10)
Therefor Statement 2 is insufficient
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by smodak » Wed May 18, 2011 1:06 pm
Yes A is the correct answer.
sourabh33 wrote:IMO A

Evaluating Equation 1

Given |x| ≤ y ≤ -|x|
This implies |x| ≤ -|x|
Now this is possible only when x = 0
Therefore y = 0 when 0 ≤ y ≤ 0
So Statement 1 sufficient


Evaluating Equation 2

Given |y| ≥ x ≥ -|y|
This implies |y| ≥ -|y|
Now this is possible for any value of y {-10,-1,-1/2,0,1/2,1,10)
Therefor Statement 2 is insufficient
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