Question

If p, q are true statements and r, s are false statements, then find the truth value of ∼ [(p ∧ ∼ r) ∨ (∼ q ∨ s)].

Answer 1

∼ [(p ∧ ∼ r) ∨ (∼ q ∨ s)]

= ∼ [(T ∧ ∼ F) ∨ (∼ T ∨ F)]

= ∼ [(T ∧ T) ∨ (F ∨ F)]

= ∼ [T ∨ F]

= ∼ T = F

∴ Given statement is false.