The statement pattern [(p land q) to (sim p l | vedclass

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(B) Let $A = (p \land q)$ and $B = (\sim p \lor r)$.The given expression is of the form $(A 	o B) \lor (B 	o A)$.Using the logical equivalence $(X \

Vedclass · Accepted Answer

a tautology

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(B) Let $A = (p \land q)$ and $B = (\sim p \lor r)$.The given expression is of the form $(A 	o B) \lor (B 	o A)$.Using the logical equivalence $(X 	o Y) \equiv (\sim X \lor Y)$, we have:$(A 	o B) \equiv (\sim A \lor B)$$(B 	o A) \equiv (\sim B \lor A)$Substituting these into the expression:$(\sim A \lor B) \lor (\sim B \lor A)$By the commutative and associative laws, we can rearrange this as:$(\sim A \lor A) \lor (\sim B \lor B)$Since $(X \lor \sim X)$ is always true $(T)$:$T \lor T = T$Therefore, the statement pattern is a tautology.

The statement pattern $[(p \land q) \to (\sim p \lor r)] \lor [(\sim p \lor r) \to (p \land q)]$ is

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