Consider the statement "The match will be pla | vedclass

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Question

(D) Let $p$ be the statement "The weather is good".Let $q$ be the statement "The ground is not wet".Let $r$ be the statement "The match will be played

Vedclass · Accepted Answer

The match will be played and the weather is not good or the ground is wet.

Vedclass · Answer

(D) Let $p$ be the statement "The weather is good".Let $q$ be the statement "The ground is not wet".Let $r$ be the statement "The match will be played".The given statement is $r \implies (p \wedge q)$.The negation of $r \implies (p \wedge q)$ is $\sim(r \implies (p \wedge q)) \equiv r \wedge \sim(p \wedge q)$.Using De Morgan's Law,$\sim(p \wedge q) \equiv \sim p \vee \sim q$.Thus,the negation is "The match will be played and (the weather is not good or the ground is wet)".

Consider the statement "The match will be played only if the weather is good and the ground is not wet". Select the correct negation from the following:

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