Question

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

• A. \( (\sim p) \vee (\sim q) \)
• B. \( p \vee (\sim q) \)
• C. \( p \vee q \)
• D. \( (\sim p) \vee q \)

Hint:

Use Boolean algebra laws like De Morgan's theorem and distributive properties for simplification.