The contrapositive of (p vee q) Rightarrow r | vedclass

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Question

(C) The contrapositive of an implication $P \Rightarrow Q$ is defined as $\sim Q \Rightarrow \sim P$.Given the implication $(p \vee q) \Rightarrow r$,

Vedclass · Accepted Answer

$\sim r \Rightarrow (\sim p \wedge \sim q)$

Vedclass · Answer

(C) The contrapositive of an implication $P \Rightarrow Q$ is defined as $\sim Q \Rightarrow \sim P$.Given the implication $(p \vee q) \Rightarrow r$,we identify $P = (p \vee q)$ and $Q = r$.Applying the rule,the contrapositive is $\sim r \Rightarrow \sim (p \vee q)$.Using De Morgan's Law,$\sim (p \vee q)$ is equivalent to $(\sim p \wedge \sim q)$.Therefore,the contrapositive is $\sim r \Rightarrow (\sim p \wedge \sim q)$.

The contrapositive of $(p \vee q) \Rightarrow r$ is

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