$\sim (p \wedge q)$ is equal to .....

The contrapositive of $(p \vee q) \Rightarrow r$ is

The statement $(p \wedge \sim q) \wedge (\sim p \vee q)$ is a...

$(p \wedge \sim q) \wedge (\sim p \vee q)$ is

For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
The school is closed if it is a holiday or a Sunday.

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