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Question
If p and q are true and r and s are false, find the truth value of the following compound statement.
(p → q) ↔ ~(p ∨ q)
Solution
(p → q) ↔ ~(p ∨ q) ≡ (T → T) ↔ (T ∨ T)
≡ T ↔ ~ T
≡ T ↔ F
≡ F
Hence, truth value if F.
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