The contrapositive of the statement sim p vee | vedclass

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(D) The given statement is $S = \sim p \vee (q \wedge \sim r)$.We know that the implication $A \rightarrow B$ is logically equivalent to $\sim A \vee

Vedclass · Accepted Answer

$(\sim q \vee r) \rightarrow p$

Vedclass · Answer

(D) The given statement is $S = \sim p \vee (q \wedge \sim r)$.We know that the implication $A \rightarrow B$ is logically equivalent to $\sim A \vee B$.Thus,the statement $S$ can be written as $p \rightarrow (q \wedge \sim r)$.The contrapositive of an implication $p \rightarrow Q$ is $\sim Q \rightarrow \sim p$.Here,$Q = (q \wedge \sim r)$.Therefore,$\sim Q = \sim (q \wedge \sim r) = \sim q \vee \sim (\sim r) = \sim q \vee r$.So,the contrapositive is $(\sim q \vee r) \rightarrow \sim p$.

The contrapositive of the statement $\sim p \vee (q \wedge \sim r)$ is

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