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Question: is \(x\) more than or equal to \(y\) (is \(x\geq{y}\))?

(1) \(\frac{px}{qy}=\frac{p}{q}\) --> reduce by \(\frac{p}{q}\) --> \(\frac{x}{y}=1\) --> \(x=y\), so we can answer yes to the question: \(x\) is equal to \(y\). Sufficient.

(2) \(xy=p\) --> Clearly not sufficient (if \(x\), \(y\) and \(p\) equal to 1, 2, and 2 respectively then the answer is NO but if they equal to 2, 1 and 2 then the answer is YES).

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