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Is x - y > 0?

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by M7MBA » Wed May 23, 2018 4:48 am

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Is x - y > 0?

(1) x > |y|
(2) y = -3

The OA is the option A.

Why is the first statement sufficient? Could someone explain this to me? I'd really appreciate it.
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Source: — Data Sufficiency |

by GMATGuruNY » Wed May 23, 2018 5:44 am
M7MBA wrote:Is x - y > 0?

(1) x > |y|
(2) y = -3
Question stem, rephrased:
Is x > y?

Statement 1:
Case 1: y=0, implying that x > |0| and thus x > 0
Case 2: y=1, implying that x > |1| and thus x > 1
Case 3: y=-1, implying that x > |-1| and thus x > 1
Case 4: y=10, implying that x > |10| and thus x > 10
Case 5: y=-10, implying that x > |-10| and thus x > 10
In every case, x > y.
Thus, the answer to the rephrased question stem is YES.
SUFFICIENT.

Statement 2:
No information about x.
INSUFFICIENT.

The correct answer is A.
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