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Question
If the statements p, q are true statements and r, s are false statements, then determine the truth value of the statement pattern:
(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 pattern is false (F).
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