The negation of the statement "12 is a multip | vedclass

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Question

(A) Let $p$ be the statement: "$12$ is a multiple of $3$".Let $q$ be the statement: "$12$ is a multiple of $4$".The given statement is $p \wedge q$.Th

Vedclass · Accepted Answer

$12$ is not a multiple of $3$ or $12$ is not a multiple of $4$.

Vedclass · Answer

(A) Let $p$ be the statement: "$12$ is a multiple of $3$".Let $q$ be the statement: "$12$ is a multiple of $4$".The given statement is $p \wedge q$.The negation of $p \wedge q$ is $\sim (p \wedge q) = \sim p \vee \sim q$ (by De Morgan's Law).Therefore,the negation is: "$12$ is not a multiple of $3$ or $12$ is not a multiple of $4$".

The negation of the statement "$12$ is a multiple of $3$ and $12$ is a multiple of $4$" is:

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