Dear friends,
Here is a powerprep question that I am not able to understand.
If y>= 0, what is the value of x?
1. |x-3| >= y
2. |x-3| <= -y
The software says statement (2) alone is sufficient but I dont understand why..
Thanks for your help!
GMAT Prep Question
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- gabriel
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ok basics first modulus x is always positive....Vasudha wrote:Dear friends,
Here is a powerprep question that I am not able to understand.
If y>= 0, what is the value of x?
1. |x-3| >= y
2. |x-3| <= -y
The software says statement (2) alone is sufficient but I dont understand why..
Thanks for your help!
according to the first statement... we have mod ( x-3) >= y... so the only thing that we get from this statement is that y is also positive... so not sufficient...
according to the second statement... mod (x-3)<=-y.... now y cant be greater than 0 bcoz then mod (x-3) will have to be negative....which is not possible... therefore y=0.... therefore x will have to be equal to 3... which will make mod(x-3)=0...... hence statement 2 alone is sufficient
the only thing to remember is that a mod is always positive....
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