Question

If p, q are true statements and r, s are false statements, then write the truth value of the compound statement

(p `→` ∼ r) `→` (q ∧ s)

Answer 1

(p `→` ∼ r) `→` (q ∧ s)

= (T `→` ∼ F) `→` (T ∧ F)

= (T `→` T) `→` F

= T `→` F

= F