If the truth value of [(p lor q) land (q to r | vedclass

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(C) Step $1$: For the implication $A 	o B$ to be false, $A$ must be true and $B$ must be false.Step $2$: $B = (p \land q)$ is false, so at least one

Vedclass · Accepted Answer

$	ext{Truth value of } (\sim q) 	o p 	ext{ is False.}$

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(C) Step $1$: For the implication $A 	o B$ to be false, $A$ must be true and $B$ must be false.Step $2$: $B = (p \land q)$ is false, so at least one of $p$ or $q$ is false.Step $3$: $A = [(p \lor q) \land (q 	o r) \land (\sim r)]$ is true. This implies $(p \lor q)$ is true, $(q 	o r)$ is true, and $(\sim r)$ is true.Step $4$: Since $(\sim r)$ is true, $r$ is false. Since $(q 	o r)$ is true and $r$ is false, $q$ must be false.Step $5$: Since $(p \lor q)$ is true and $q$ is false, $p$ must be true.Step $6$: Thus, $p = T, q = F, r = F$.Step $7$: Check options:$(A)$ $p 	o q = T 	o F = F$ (True statement).$(B)$ $p 	o r = T 	o F = F$ (True statement).$(C)$ $(\sim q) 	o p = T 	o T = T$ (False statement, as it is true).$(D)$ $(\sim p) \land r = F \land F = F$ (True statement).Step $8$: Option $(C)$ is the one that is $NOT$ true.

If the truth value of $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then which of the following is $NOT$ true?

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