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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