Mathematical Reasoning: The boolean expression (sim(pwedge q))vee q is equivalent to : | JEE Main 2022 | Yukti Vault

Yukti Vault

JEE Main 2022 (Online) 27th June Morning ShiftQuestion 1

The boolean expression $(\sim(p\wedge q))\vee q$ is equivalent to :

Mathematical Reasoning

$q\to(p\wedge q)$$p\to q$$p\to(p\to q)$$p\to(p\vee q)$✓ Correct answer

Solution

$\sim(p\wedge q)\vee q=\sim p\vee\sim q\vee q$ is a tautology, as is $p\Rightarrow(p\vee q)$.

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