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Direct Method of Validation

If c denote...

Question

If $c$ denotes the contradiction then dual of the compound statement $\sim p \land (q \lor t)$ is

\sim p \lor (q \land t)

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\sim p \land (q \lor t)

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p \lor (\sim q \lor t)

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\sim p \lor (q \land c)

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Solution

The correct option is A $\sim p \lor (q \land t)$
In dual of statement the following changes
$\lor$ to $\land$
$\land$ to $\lor$
$T$ to $F$
$F$ to $T$

$∴$ Dual of $\sim p \land (q \lor c) =\sim p \lor (q \land t)$

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