(p to q) leftrightarrow (q vee sim p) is | vedclass

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(B) To determine the nature of the statement $(p 	o q) \leftrightarrow (q \vee \sim p)$,we construct a truth table:      $p$    $q$    $\sim p$    $p

Vedclass · Accepted Answer

Tautology

Vedclass · Answer

(B) To determine the nature of the statement $(p 	o q) \leftrightarrow (q \vee \sim p)$,we construct a truth table:      $p$    $q$    $\sim p$    $p 	o q$    $q \vee \sim p$    $(p 	o q) \leftrightarrow (q \vee \sim p)$        $T$    $T$    $F$    $T$    $T$    $T$        $T$    $F$    $F$    $F$    $F$    $T$        $F$    $T$    $T$    $T$    $T$    $T$        $F$    $F$    $T$    $T$    $T$    $T$  Since the final column contains only $T$ (True) values,the statement is a tautology.

$(p \to q) \leftrightarrow (q \vee \sim p)$ is

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