Bunuel wrote:

Is 2x > 2y ?

(1) x > y

(2) 3x > 3y

Question:

Is \(2x > 2y\) or \(2x - 2y > 0\) or \(2 (x - y) > 0\)

As \(2 > 0\), the question is " Is \((x - y) > 0\)"?

Statement 1: if \(x > y\), then \((x - y) > 0\), Answer to the question is Yes. \(2x > 2y\). Sufficient

Statement 2: If \(3x > 3y > 0\)

\(3x - 3y > 0\) or \(3 (x - y) > 0\)

As \(3 > 0\), then \((x - y)\) has to be greater than 0 for statement 2 to be valid.

Therefore, Sufficient. Answer (D). Hope I am not missing something.

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