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Let E = {x Z | x is even} and O = {x Z | x is odd}. Prove that E O = Z. (Hint:
Let E = {x Z | x is even} and O = {x Z | x is odd}. Prove that E O = Z. (Hint: prove both parts of the proof by cases. What are the possible remainders when dividing an arbitrary integer by 2?)
Please provide a formal proof
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