MHT CET · Maths · Mathematical Reasoning
The negation of \((p \wedge \sim q) \rightarrow(p \vee \sim q)\) is
- A a tautology
- B a contingency
- C a contradiction
- D equivalent to \(\mathrm{p} \wedge \mathrm{q}\)
Answer & Solution
Correct Answer
(C) a contradiction
Step-by-step Solution
Detailed explanation
The negation of \( (A \rightarrow B) \) is \( A \wedge \sim B \). \( \sim ((p \wedge \sim q) \rightarrow (p \vee \sim q)) \equiv (p \wedge \sim q) \wedge \sim (p \vee \sim q) \)
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