Is \(x > y?\)

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed Dec 04, 2019 12:38 am
M7MBA wrote:Is \(x > y?\)

(1) \(x - y - 1 > 0\)

(2) \(x - y + 1 > 0\)

[spoiler]OA=A[/spoiler]

Source: Magoosh
If \(x > y\), \(x -y > 0\). Or the difference between x and y is positive.

Let's take each statement one by one.

(1) \(x - y - 1 > 0\)

\(x - y > 1\)

=> the difference between x and y is positive. The answer is yes. Sufficient.

(2) \(x - y + 1 > 0\)

\(x - y > -1\)

=> the difference between x and y can be positive, zero or negative. No unique answer. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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