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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:
(q ∧ r) ∨ (∼ p ∧ s)
Sum
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Solution
Truth values of p and q are T and truth values of r and s are F.
(q ∧ r) ∨ (∼ p ∧ s) ≡ (T ∧ F) ∨ (∼ T ∧ F)
≡ F ∨ (F ∧ F)
≡ F ∨ F ≡ F
Hence the truth value of the given statement is false.
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