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

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(C) The logical statement $\sim p \lor q$ is false only when both $\sim p$ is false and $q$ is false.If $\sim p$ is false, then $p$ must be true $(T)$

Vedclass · Accepted Answer

$q 	o p$ is $T$

Vedclass · Answer

(C) The logical statement $\sim p \lor q$ is false only when both $\sim p$ is false and $q$ is false.If $\sim p$ is false, then $p$ must be true $(T)$.If $q$ is false, then $q$ is false $(F)$.Now, evaluate the options with $p = T$ and $q = F$:$(A)$ $p \leftrightarrow q$ becomes $T \leftrightarrow F$, which is $F$.$(B)$ $p 	o q$ becomes $T 	o F$, which is $F$.$(C)$ $q 	o p$ becomes $F 	o T$, which is $T$.$(D)$ $q 	o p$ is $F$, which is incorrect as it is $T$.Therefore, the correct option is $(C)$.

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

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