The contrapositive of the statement: "If the | vedclass

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Question

(B) Let $p$ be the statement: "The weather is fine".Let $q$ be the statement: "My friends will come".Let $r$ be the statement: "We go for a picnic".Th

Vedclass · Accepted Answer

If my friends do not come or we do not go for picnic then weather will not be fine.

Vedclass · Answer

(B) Let $p$ be the statement: "The weather is fine".Let $q$ be the statement: "My friends will come".Let $r$ be the statement: "We go for a picnic".The given statement is $p \rightarrow (q \wedge r)$.The contrapositive of $p \rightarrow (q \wedge r)$ is $\sim(q \wedge r) \rightarrow \sim p$.Using De Morgan's Law,$\sim(q \wedge r) \equiv (\sim q \vee \sim r)$.So,the contrapositive is $(\sim q \vee \sim r) \rightarrow \sim p$.Translating this back to words: "If my friends do not come or we do not go for a picnic,then the weather will not be fine."

The contrapositive of the statement: "If the weather is fine then my friends will come and we go for a picnic." is

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