Question

If the truth value of A v B is true, then truth value of ~A ∧ B can be ___________

(a) True if A is false

(b) False if A is false

(c) False if B is true and A is false

(d) None of the mentioned

I have been asked this question in an online quiz.

I'm obligated to ask this question of Logics and Proofs topic in chapter The Foundation: Logics and Proofs of Discrete Mathematics

Answer 1

Right choice is (a) True if A is false

For explanation I would say: If A is false then both the condition are obeyed.