If p and q true and r and s are false statements, then which of the following is true?

Step-by-step solution

We have statements p , q → T and r , s → F Option (a) q ∧ r ∨ ∼ p ∧ s ≡ T ∧ F ∨ F ∧ F ≡ F ∨ F ≡ F Option (b) ∼ p → q ↔ r ∧ s ≡ p ∨ q → r ∨ s ∵ p → q ≡ ∼ p ∨ q ≡ ∼ p v q ∨ r ∧ s ∧ p ∨ q ∨ ∼ r ∧ s ∵ p ↔ q ≡ ∼ p ∨ q ∧ p v - q ≡ ∼ T ∨ T ∨ F ∧ F ∧ T ∨ F ∨ F ∧ F ≡ F ∨ F ∧ T ∨ T ≡ F ∧ T ≡ F Option (c) p → q ∨ r ↔ s ≡ ∼ p ∨ q ∨ ∼ r ∨ s ∧ r ∨ ∼ s ∵ p → q ≡ ∼ p ∨ q ≡ F ∨ T ∨ T ∨ F ∧ F ∨ T ≡ T ∨ T ∧ T ≡ T ∨ T ≡ T Option (d) do similar as option (a).