Which of the following logical statements is | vedclass

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(A) tautology is a statement that is true for all possible truth values of its components.Step $1$: Analyze option $A$: $[(p 	o q) \land \sim q] 	o

Vedclass · Accepted Answer

$[(p 	o q) \land \sim q] 	o \sim p$

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(A) tautology is a statement that is true for all possible truth values of its components.Step $1$: Analyze option $A$: $[(p 	o q) \land \sim q] 	o \sim p$.Step $2$: Construct the truth table for $[(p 	o q) \land \sim q] 	o \sim p$.- If $p=T, q=T$: $[(T 	o T) \land F] 	o F \implies [T \land F] 	o F \implies F 	o F = T$.- If $p=T, q=F$: $[(T 	o F) \land T] 	o F \implies [F \land T] 	o F \implies F 	o F = T$.- If $p=F, q=T$: $[(F 	o T) \land F] 	o T \implies [T \land F] 	o T \implies F 	o T = T$.- If $p=F, q=F$: $[(F 	o F) \land T] 	o T \implies [T \land T] 	o T \implies T 	o T = T$.Since all values are $T$, it is a tautology.

Which of the following logical statements is a tautology?

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