The expression $\sim (p \vee q) \vee (\sim p \wedge q)$ is equivalent to:

For each of the following compound statements,first identify the corresponding component statements. Then check whether the statements are true or not.
If $a$ and $b$ are integers,then $ab$ is a rational number.

If $p$: Every square is a rectangle and $q$: Every rhombus is a kite,then the truth values of $p \rightarrow q$ and $p \leftrightarrow q$ are $ . . . . . . $ and $ . . . . . . $ respectively.

The conditional statement $(p \wedge q) \implies p$ is:

The proposition $p \Rightarrow \sim (p \wedge \sim q)$ is

The negation of the contrapositive of the statement $(p \lor \sim q) \to (p \land \sim q)$ is