The logical statement $(p \wedge \sim q) \vee q \vee(\sim p \wedge q)$ is equivalent to

Question

Aicharya · Accepted Answer

$\begin{aligned} & (p \wedge \sim q) \vee q \vee(\sim p \wedge q) \ & \equiv\{(p \wedge \sim q) \vee(\sim p \wedge q)\} \vee q \ & \equiv \sim(p \Leftrightarrow q) \vee q \equiv p \vee q\end{aligned}$

The logical statement $(p \wedge \sim q) \vee q \vee(\sim p \wedge q)$ is equivalent to

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