2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
(i) If x∈A and A∈B, then x∈B
(ii) If A⊂B and B∈C, then A∈C
(iii) If A⊂B and B⊂C, then A⊂C
(iv) If A⊂B and B⊂C, then A⊂C
(v) If x∈A and A⊂B, then x∈B
(vi) If A⊂B and x∈/B, then x∈/A