If sim p lor q is false, then which of the fo | vedclass

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(C) $1$. The logical expression $\sim p \lor q$ is false only when both $\sim p$ is false and $q$ is false.$2$. If $\sim p$ is false, then $p$ must be

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$q \rightarrow p$ is $T$

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(C) $1$. The logical expression $\sim p \lor q$ is false only when both $\sim p$ is false and $q$ is false.$2$. If $\sim p$ is false, then $p$ must be true $(T)$.$3$. Since $q$ is false $(F)$, we have $p = T$ and $q = F$.$4$. Now, evaluate the options:$(a)$ $p \leftrightarrow q \equiv T \leftrightarrow F = F$$(b)$ $p \rightarrow q \equiv T \rightarrow F = F$$(c)$ $q \rightarrow p \equiv F \rightarrow T = T$$(d)$ $q \rightarrow p \equiv F \rightarrow T = T$ (Note: Option $C$ and $D$ are identical in truth value, but $q \rightarrow p$ is $T$.)$5$. Thus, $q \rightarrow p$ is true.

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

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