SMO 2015 Senior Round 1 Question 7
SMO · SMO 2015 Senior Round 1
If $x$ and $y$ are non-zero numbers such that $x\gt y$, which of the following is always true?
$\frac1x\lt \frac1y$
$\frac xy\gt 1$
$|x|\gt |y|$
$\frac1{xy^2}\gt \frac1{x^2y}$
$\frac xy\gt \frac yx$