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If y ≥ 0, What is the value of x?

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Source: — Data Sufficiency |
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by pssohal » Tue Jan 25, 2011 6:15 pm
buckrich wrote:If y ≥ 0, What is the value of x?
1) |x-3| ≥ y
2) |x-3| ≤ -y
B
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by Rahul@gurome » Tue Jan 25, 2011 9:00 pm
Consider first (1) alone.
It means lx-3l >= 0.
This will be true for infinite many values of x.
So, statement (1) alone is not sufficient to answer the question.
We next consider statement (2) alone.
This means lx-3l <= 0.
Since, modulus cannot be negative, lx-3l=0.
Or x = 3.
So, (2) alone is sufficient.
The correct answer is (B).
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