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Question
If p and q are true statements and r and s are false statements, find the truth value of the following :
( p ∧ ∼ r ) ∧ ( ∼ q ∧ s )
Solution
Given p is T, q is T, r is F, s is F
( p ∧ ∼ r ) ∧ ( ∼ q ∧ s )
≡ ( T ∧ ∼ F ) ∧ ( ∼ T ∧ F )
≡ ( T ∧ T ) ∧ ( F ∧ F )
≡ T ∧ F
≡ F
∴ The truth value of the given statement is F.
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