The negation of the statement " 72 is divisib | vedclass

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Question

(A) Let $p$ be the statement: "$72$ is divisible by $2$ and $3$".This can be written as $p = q \wedge r$,where $q$ is "$72$ is divisible by $2$" and $

Vedclass · Accepted Answer

$72$ is not divisible by $2$ or $72$ is not divisible by $3$

Vedclass · Answer

(A) Let $p$ be the statement: "$72$ is divisible by $2$ and $3$".This can be written as $p = q \wedge r$,where $q$ is "$72$ is divisible by $2$" and $r$ is "$72$ is divisible by $3$".The negation of a conjunction is given by De Morgan's Law: $\sim(q \wedge r) \equiv \sim q \vee \sim r$.Here,$\sim q$ is "$72$ is not divisible by $2$" and $\sim r$ is "$72$ is not divisible by $3$".Therefore,the negation is "$72$ is not divisible by $2$ or $72$ is not divisible by $3$".

The negation of the statement " $72$ is divisible by $2$ and $3$ " is

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