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Question
If statements p, q are true and r, s are false, determine the truth values of the following.
~ p ∧ (q ∨ ~ r)
Solution
~ p ∧ (q ∨ ~ r)
≡ ∼T ∧ (T ∨ ∼ F)
≡ F ∧ (T ∨ T)
≡ F ∧ T
≡ F
∴ Truth value of ~ p ∧ (q ∨ ~ r) is F
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