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Data Sufficiency (DS) | Re: Is |xy| > xy?

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Bunuel wrote:

Is \(|xy| > xy\)?


(1) \(\sqrt{x^2y^2}=xy\)

(2) \(|x|+|y|=x+y\)


If both\(x\) and\(y\) are positive or negative then\(|xy|=xy\) and if either of the two is negative and other is positive then\(|xy|>xy\)

Statement 1 : LHS\(= \sqrt{(xy)^2}\) \(= |xy|\)
so we have\(|xy|=xy\) . Hence we have aNO for our question stem.Sufficient

Statement 2 this implies magnitude of both\(x\) &\(y\) equals summation of both\(x\) &\(y\) . Hence both\(x\) &\(y\) are positive. Hene\(|xy|=xy\)
Hence we have aNO for our question stem.Sufficient

Option\(D\)
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