The negation of the inverse of the statement | vedclass

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(B) Step $1$: The given statement is $\sim p \lor q$, which is logically equivalent to $p \implies q$.Step $2$: The inverse of $p \implies q$ is $\sim

Vedclass · Accepted Answer

$\sim p \land q$

Vedclass · Answer

(B) Step $1$: The given statement is $\sim p \lor q$, which is logically equivalent to $p \implies q$.Step $2$: The inverse of $p \implies q$ is $\sim p \implies \sim q$, which is equivalent to $\sim(\sim p) \lor \sim q = p \lor \sim q$.Step $3$: The negation of this inverse is $\sim(p \lor \sim q)$.Step $4$: Using De Morgan's Law, $\sim(p \lor \sim q) = \sim p \land \sim(\sim q) = \sim p \land q$.Therefore, the correct option is $(B)$.

The negation of the inverse of the statement $\sim p \lor q$ is...

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