The negation of the converse of the statement | vedclass

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(D) Step $1$: The statement is $p \lor q$. The converse of a statement $p \implies q$ is $q \implies p$. However, for a logical disjunction $p \lor q$

Vedclass · Accepted Answer

$\sim p \land \sim q$

Vedclass · Answer

(D) Step $1$: The statement is $p \lor q$. The converse of a statement $p \implies q$ is $q \implies p$. However, for a logical disjunction $p \lor q$, the converse is defined by swapping the components, which remains $q \lor p$.Step $2$: Since $p \lor q$ is logically equivalent to $q \lor p$, the converse of $p \lor q$ is simply $p \lor q$.Step $3$: The negation of the statement $p \lor q$ is $\sim(p \lor q)$.Step $4$: By De Morgan's Law, $\sim(p \lor q) \equiv \sim p \land \sim q$.

The negation of the converse of the statement $p \lor q$ is:

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