Inequality problem 
*

*$5\geq X \geq 2$ 

*$0.8 \geq Y\geq 0.5$ 
Find range of the values of 
A) $\sqrt{XY}$
B) $(\frac{X}{Y})^2$ 

$\sqrt{XY}$ is increasing in both $X$ and $Y$. It can be as small as $\sqrt{2*0.5}$ and as large as $\sqrt{5*0.8}$
$(\frac{X}{Y})^2$ increases in $X$ but decreases in $Y$ it can be as large as $(\frac{5}{0.5})^2$ and as small as $(\frac{2}{0.8})^2$
