Which of the following statements is a tautol | vedclass

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(D) tautology is a statement that is always true for all possible truth values of its components.We evaluate option $D$: $(\sim q \wedge p) \vee (p \v

Vedclass · Accepted Answer

$(\sim q \wedge p) \vee (p \vee \sim p)$

Vedclass · Answer

(D) tautology is a statement that is always true for all possible truth values of its components.We evaluate option $D$: $(\sim q \wedge p) \vee (p \vee \sim p)$.We know that $(p \vee \sim p)$ is a tautology (always true,denoted as $T$).Thus,the expression becomes $(\sim q \wedge p) \vee T$.Since any statement $X \vee T$ is always $T$,the entire expression is a tautology.Therefore,the correct option is $D$.

Which of the following statements is a tautology?

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