Let the operations * , ⊙ ∈ ∧ , ∨ . If p * q ⊙ p ⊙ ~ q is a tautology, then the ordered pair * , ⊙ is

Step-by-step solution

Given, the operations * , ⊙ ∈ ∧ , ∨ . If p * q ⊙ p ⊙ ~ q is a tautology, then the ordered pair * , ⊙ is We will check each option one by one, For option A ,   put  * = ∨ and ⊙ = Λ We get, p ∨ q ∧ p ∨ ~ q ≡ p ∨ q ∧ ~ q ≡ p ∨ c ≡ p where c is contradiction Now for option B : put  * = ∨ , ⊙ = ∨ We get, p ∨ q ∨ p ∨ ~ q ≡ p ∨ q &#87