Bbuckrich wrote:If y ≥ 0, What is the value of x?
1) |x-3| ≥ y
2) |x-3| ≤ -y
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If y ≥ 0, What is the value of x?
Source: Beat The GMAT — Data Sufficiency |
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).
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).
Rahul Lakhani
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Gurome, Inc.
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Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
