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Question
lf 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
= F ∨ F
= F
The truth value is F.
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