Using Rules 5.1, show that if (x>0) and (y <0) then (x y <0), and that if

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Using Rules 5.1, show that if \(x>0\) and \(y<0\) then \(x y<0\), and that if \(a>b>0\) then \(\frac{1}{a}<\frac{1}{b}\).

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