English

If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r ∧ q) ↔ ∼ p

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Question

If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r ∧ q) ↔ ∼ p

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Solution

(r ∧ q) ↔ ∼ p
≡ (T ∧ F) ↔ ∼T
≡(T ∧ F) ↔ F [1]
≡ F ↔  F
≡ T
Hence, the truth value is ‘T’

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2015-2016 (July)

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