Theorem: For any real numbers, x and y$,$ max$($x$,$y$)=(1/2)($x $+$y $+$ x $$ yl$).$ One of the cases in the proof of the theorem uses the assumptions that $($x $$ y $=$ x $-$ y$.$ Select the case that corresponds to this argument. Oxy x$0$Select the value for x that is a counter$-$example to the following statement: For every integer x$,$x