Among the given statements below,which one is | vedclass

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(D) tautology is a statement that is true for all possible truth values of its components.We construct the truth table for the given options:| $p$ | $

Vedclass · Accepted Answer

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

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(D) tautology is a statement that is true for all possible truth values of its components.We construct the truth table for the given options:| $p$ | $q$ | $\sim p$ | $\sim q$ | $\sim p \vee \sim q$ | $p \vee \sim q$ | $(\sim p \vee \sim q) \vee (p \vee \sim q)$ ||---|---|---|---|---|---|---|| $T$ | $T$ | $F$ | $F$ | $F$ | $T$ | $T$ || $T$ | $F$ | $F$ | $T$ | $T$ | $T$ | $T$ || $F$ | $T$ | $T$ | $F$ | $T$ | $F$ | $T$ || $F$ | $F$ | $T$ | $T$ | $T$ | $T$ | $T$ |As seen in the final column,the statement $(\sim p \vee \sim q) \vee (p \vee \sim q)$ is true for all combinations of $p$ and $q$.Therefore,it is a tautology.

Among the given statements below,which one is a tautology?

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