$\sim[(p \vee \sim q) \rightarrow (p \wedge \sim q)] \equiv$

If $p$ and $q$ are simple propositions,then $p \Rightarrow q$ is false when

The contrapositive of "If $x$ and $y$ are integers such that $x y$ is odd,then both $x$ and $y$ are odd" is

$\sim (p \vee q) \vee (\sim p \wedge q)$ is logically equivalent to

The symbolic form of the statement "If it does not rain today or $I$ will not go to school,then $I$ will meet my friend and $I$ will go to watch a movie" is:
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie

Find the component statements of the following compound statement:
All rational numbers are real and all real numbers are complex.