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 statement pattern is of the form $(A 	o B) \lor (B 	o A)$.We know that the implication

Vedclass · Accepted Answer

a tautology

Vedclass · Answer

(B) Let $A = (p \land q)$ and $B = (\sim p \lor r)$.The given statement pattern is of the form $(A 	o B) \lor (B 	o A)$.We know that the implication $(A 	o B)$ is logically equivalent to $(\sim A \lor B)$.So, the expression becomes $(\sim A \lor B) \lor (\sim B \lor A)$.By the associative and commutative laws of logic, we can rearrange this as $(\sim A \lor A) \lor (\sim B \lor B)$.Since $(\sim A \lor A)$ is a tautology $(T)$ and $(\sim B \lor B)$ is a tautology $(T)$, the expression becomes $T \lor T$.The disjunction of two tautologies is a tautology $(T)$.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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