Question:
Negation of the statement \( (\rho \land r) \rightarrow (r \lor q) \) is
Negation of the statement \( (\rho \land r) \rightarrow (r \lor q) \) is
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The negation of an implication is found by retaining the premise and negating the conclusion.
Updated On: Dec 11, 2025
- \( (\rho \land r) \land (\neg r \land \neg q) \)
- \( \neg (\rho \land r) \rightarrow (r \lor q) \)
- \( \neg (\rho \lor r) \rightarrow \neg (r \land q) \)
- \( (\rho \land r) \lor (r \lor q) \)
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The Correct Option is A
Solution and Explanation
The negation of a conditional statement \( p \rightarrow q \) is \( p \land \neg q \). So the negation of the given statement \( (\rho \land r) \rightarrow (r \lor q) \) is \( (\rho \land r) \land (\neg r \land \neg q) \).
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