Question: 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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