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Question
If p, q are true statements and r, s are false statements, then find the truth value of ∼ [(p ∧ ∼ r) ∨ (∼ q ∨ s)].
Sum
Solution
∼ [(p ∧ ∼ r) ∨ (∼ q ∨ s)]
= ∼ [(T ∧ ∼ F) ∨ (∼ T ∨ F)]
= ∼ [(T ∧ T) ∨ (F ∨ F)]
= ∼ [T ∨ F]
= ∼ T = F
∴ Given statement is false.
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