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  4. If p,q,r are simple propositions, then the truth value of (∼ p ∨ q)∧ ∼ r⇒ p is

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Q. If $p,q,r$ are simple propositions, then the truth value of $\left(\sim p \lor q\right)\land \sim r\Rightarrow p$ is

NTA AbhyasNTA Abhyas 2022

Solution:

$\left(\sim T \lor F\right)\land \sim T\Rightarrow T$
$\left(F \lor F\right)\land F\Rightarrow T$
$F\lor F \rightarrow T$
$F \rightarrow T$ which is $T$