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Let $p$ and $q$ be any two logical statements and $\mathrm{r}: \mathrm{p} \rightarrow(\sim p \vee q)$. If $r$ has a truth value $F$, then the truth values of $p$ and $q$ are respectively:
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The correct answer is:
T, F
T, F
$p \rightarrow(\sim p \vee q)$ has truth value $\mathrm{F}$.
It means $p \rightarrow(\sim p \vee q)$ is false.
It means $p$ is true and $\sim p \vee q$ is false.
$\Rightarrow p$ is true and both $\sim p$ and $q$ are false.
$\Rightarrow p$ is true and $q$ is false.
It means $p \rightarrow(\sim p \vee q)$ is false.
It means $p$ is true and $\sim p \vee q$ is false.
$\Rightarrow p$ is true and both $\sim p$ and $q$ are false.
$\Rightarrow p$ is true and $q$ is false.
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