The statement pattern (p lor q) to sim r is l | vedclass

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Question

(C) We use the logical equivalence $A 	o B \equiv \sim A \lor B$.Given the statement $(p \lor q) 	o \sim r$, let $A = (p \lor q)$ and $B = \sim r$.A

Vedclass · Accepted Answer

$(\sim p \land \sim q) \lor \sim r$

Vedclass · Answer

(C) We use the logical equivalence $A 	o B \equiv \sim A \lor B$.Given the statement $(p \lor q) 	o \sim r$, let $A = (p \lor q)$ and $B = \sim r$.Applying the equivalence: $\sim (p \lor q) \lor \sim r$.Using De Morgan's Law, $\sim (p \lor q) \equiv (\sim p \land \sim q)$.Substituting this back, we get $(\sim p \land \sim q) \lor \sim r$.Thus, the statement is equivalent to $(\sim p \land \sim q) \lor \sim r$.

The statement pattern $(p \lor q) \to \sim r$ is logically equivalent to

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