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 )

Answer 1

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.