Find the component statements of the following compound statement:
$0$ is a positive number or a negative number.

The inverse of the proposition $(p \wedge \sim q) \rightarrow r$ is:

Consider the following statements:
$P$: $I$ have fever
$Q$: $I$ will take medicine
$R$: $I$ will take rest
The statement "If $I$ have fever,then $I$ will take medicine and $I$ will take rest" is equivalent to:

The correct logical equivalences from the following are: $(I)$ $p \to (q \to r) \equiv (p \land q) \to r$ $(II)$ $(p \to q) \to r \equiv p \to (q \lor r)$ $(III)$ $(p \to q) \to r \equiv (p \to r) \land (\sim q \to r)$ $(IV)$ $p \to (q \to r) \equiv q \to (p \to r)$

If $p \rightarrow (q \vee r)$ is false,then what are the truth values of $p, q, r$ respectively?

$(p \to q) \leftrightarrow (q \vee \sim p)$ is