If p to (q lor sim r) is false, then the trut | vedclass

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(C) Step $1$: Analyze the given false implication $p 	o (q \lor \sim r) \equiv F$. An implication $A 	o B$ is false only when $A$ is $T$ and $B$ is

Vedclass · Accepted Answer

$F, T$

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(C) Step $1$: Analyze the given false implication $p 	o (q \lor \sim r) \equiv F$. An implication $A 	o B$ is false only when $A$ is $T$ and $B$ is $F$.Step $2$: Thus, $p = T$ and $(q \lor \sim r) = F$.Step $3$: For $(q \lor \sim r)$ to be $F$, both $q = F$ and $\sim r = F$ must hold. Therefore, $q = F$ and $r = T$.Step $4$: Evaluate $(p \leftrightarrow q) \land r$. Substituting values: $(T \leftrightarrow F) \land T \equiv F \land T \equiv F$.Step $5$: Evaluate $\sim p 	o \sim q$. Substituting values: $\sim T 	o \sim F \equiv F 	o T \equiv T$.Step $6$: The truth values are $F, T$.

If $p \to (q \lor \sim r)$ is false, then the truth values of $(p \leftrightarrow q) \land r$ and $\sim p \to \sim q$ are :

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