Question

The inverse of the statement \[ (p \land \neg q) \to r \] \text{is:}

• A. \( (\neg p \lor \neg q) \to r \)
• B. \( (\neg p \lor q) \to r \)
• C. \( (\neg p \lor q) \to \neg r \)
• D. None of these

Hint:

The inverse of an implication is formed by negating both the hypothesis and conclusion.

Answer 1

The Correct Option is C

Using logical equivalences, the inverse of the statement \( (p \land \neg q) \to r \) is \( (\neg p \lor q) \to \neg r \).
Final Answer: \[ \boxed{(\neg p \lor q) \to \neg r} \]