Answer true or false. Justify your answer. (i)If A and B are distinct events (i.e., A

= B)

such that A and Bc are disjoint, then Ac and B are also disjoint. (ii) If A and B are disjoint, then Ac and Bc are also disjoint. (iii) If A and B are disjoint, and also B and C are disjoint, then A and C are disjoint. (iv) If A and B are both contained in C, then Cc ⊂ Ac ∩ Bc. (v) If A is contained in B, C is contained in D, and B is disjoint from D, then A is disjoint from C. (vi) If A ∪ Bc = Bc, then B ⊂ Ac.