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प्रश्न
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
∼ [(p → q) ↔ (p ∧ ∼ q)]
उत्तर
∼[(p → q) ↔ (p ∧ ∼q)] ≡ ∼ [(T → T) ↔ (T ∧ ∼ T)]
≡ ~[T ↔ (T ∧ F)]
≡ ~(T ↔ F)
≡ ~ F
≡ T
Hence, truth value is T.
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