Q 2675856766.     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 in A` and `A in B`, then `x in B`

(ii) If `A ⊂ B` and `B in C`, then `A in C`

(iii) If `A ⊂ B` and `B ⊂ C`, then `A ⊂ C`

(iv) If `A ⊄ B` and `B ⊄ C`, then `A ⊄ C`

(v) If `x in A` and `A ⊄ B`, then `x in B`

(vi) If `A ⊂ B` and `x ∉ B` then `x ∉ A`

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