Question

For rational numbers, $x$ and $y,$ if $x>y,$ then which of the following is always a positive rational number?

• A. $y-xy$
• B. $xy-x$
• C. $y-x$
• D. $x-y$

Answer 1

Answer: (D)

$x-y$

If $x>y$

$y-xy\to$ can be both positive and negative.

Example coside $x>1$ & $y>0$

$(y-xy)<0$

$xy-x\to$ can be both positive and negative

$y-x\to$ always negative

$x-y\to alwayspositivesincex>y$