If p, q, r are simple propositions with truth | vedclass

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(A) Given the truth values: $p = T, q = F, r = T$. First,evaluate $\sim p$: $\sim T = F$. Next,evaluate $\sim r$: $\sim T = F$. Now,evaluate $(\sim p

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True

Vedclass · Answer

(A) Given the truth values: $p = T, q = F, r = T$. First,evaluate $\sim p$: $\sim T = F$. Next,evaluate $\sim r$: $\sim T = F$. Now,evaluate $(\sim p \vee q)$: $F \vee F = F$. Then,evaluate $(\sim p \vee q) \wedge \sim r$: $F \wedge F = F$. Finally,evaluate the implication $[(\sim p \vee q) \wedge \sim r] \Rightarrow p$: $F \Rightarrow T$. Since the implication $F \Rightarrow T$ is $True$,the final truth value is $True$.

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively,then the truth value of $(\sim p \vee q) \wedge \sim r \Rightarrow p$ is

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