The dual of the converse of the inverse of th | vedclass

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(A) $1$. Given statement: $S = p 	o (q 	o r)$.$2$. Inverse of $S$: $\sim p 	o \sim (q 	o r) = \sim p 	o (q \land \sim r)$.$3$. Converse of the in

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$\sim [p \lor (r 	o q)]$

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(A) $1$. Given statement: $S = p 	o (q 	o r)$.$2$. Inverse of $S$: $\sim p 	o \sim (q 	o r) = \sim p 	o (q \land \sim r)$.$3$. Converse of the inverse: $(q \land \sim r) 	o \sim p$.$4$. Dual of the converse: Replace $\land$ with $\lor$, $\lor$ with $\land$, $T$ with $F$, and $F$ with $T$. The dual of $(q \land \sim r) 	o \sim p$ is $(q \lor \sim r) 	o \sim p$.$5$. Using $A 	o B \equiv \sim A \lor B$: $\sim (q \lor \sim r) \lor \sim p = (\sim q \land r) \lor \sim p$.$6$. This is equivalent to $\sim (p \lor (q \land \sim r)) = \sim (p \lor (r 	o q))$.$7$. Thus, the correct option is $A$.

The dual of the converse of the inverse of the logical statement $p \to (q \to r)$ is equivalent to...

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