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MA1971-Quiz 2 Solved

MA 1971            Bridge to Higher Mathematics                            Name:

 

Quiz 2                                                                                                                                                                       D Term, 

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1.If S = {1,π,               3}, please find the power set of S.

P(S) =
 

2.Suppose that A, B and C are all subsets of some universe U. Please show that

A ∩ (B ∪ C) ⊂ (A ∩ B) ∪ (A ∩ C)
3. (10 points) Pleases use induction to show that 2 + 4 + 6 + ... + 2n = n(n + 1) .

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