Show that the following four conditions are equivalent :(i) A ⊂ B                                                    (ii) A – B = φ                                            (iii) A ∪ B = B                                          (iv) A ∩ B = A

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Q: Let x, y e Z. Prove that if 3x + 7y is odd or 5x + 6y is even, then x or y is even.

A:

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