The statement $(p \wedge q) \to (p \vee q)$ is

Identify the type of "Or" used in the following statement and check whether the statement is true or false:
To enter into a public library,children need an identity card from the school or a letter from the school authorities.

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

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has truth value $F$,then the truth values of $p, q,$ and $r$ are respectively:

If $\sim p \lor q$ is false, then which of the following is correct?

If the truth value of the statement $p \to (\sim q \vee r)$ is false $(F)$,then the truth values of the statements $p, q, r$ are respectively: