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Question
If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:
(∼ r ↔ p) → ∼ q
Solution
Truth values of p and q are T and truth values of r and s are F.
(∼ r ↔ p) → (∼ q) ≡ ( ∼ F ↔ T) → (∼ T)
≡ (T ↔ T) →F
≡ T→ F ≡ F
Hence the truth value of the given statement is false.
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