Question $5$

Consider the following statements. $($Note: $$ and $>$ are higher precedence than $=.)$

$p=x>y$

$q=y>z$

$r=z>x$

For each statement below, specify whether it is true or false.

$p^{{?}^{?}}q$notr

$p^{{?}^{?}}qr$

$r$not$(p^{{?}^{?}}q)$