The statements p, q and r have truth values T | vedclass

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(B) Given: $p = T, q = F, r = F$.Step $1$: Evaluate the statement $S = [\sim (p \land \sim q) \lor (q \lor \sim r)]$.$\sim q = T$, so $(p \land \sim q

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True, False

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(B) Given: $p = T, q = F, r = F$.Step $1$: Evaluate the statement $S = [\sim (p \land \sim q) \lor (q \lor \sim r)]$.$\sim q = T$, so $(p \land \sim q) = (T \land T) = T$. Thus, $\sim (p \land \sim q) = F$.$\sim r = T$, so $(q \lor \sim r) = (F \lor T) = T$.$S = (F \lor T) = T$.Step $2$: Find the dual statement $S^*$. Replace $\land$ with $\lor$, $\lor$ with $\land$, $T$ with $F$, and $F$ with $T$.The dual $S^*$ is $[\sim (p \lor \sim q) \land (q \land \sim r)]$.Step $3$: Evaluate $S^*$.$(p \lor \sim q) = (T \lor T) = T$, so $\sim (p \lor \sim q) = F$.$(q \land \sim r) = (F \land T) = F$.$S^* = (F \land F) = F$.The truth values are $T$ and $F$ respectively.

The statements $p, q$ and $r$ have truth values True, False and False respectively. The truth values of a logical statement $[\sim (p \land \sim q) \lor (q \lor \sim r)]$ and its dual are, respectively.....

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