(Answered) Give a direct proof that the sum an even integer and an odd

Statistics

Give a direct proof that the sum an even integer and an odd integer is odd. Hint: Start by letting m be an even integer and letting n be an odd integer. That means m = 2k for some integer k and n = 2j + 1 for some integer j. You are interested in m + n, so add them up and see what you get. Why is the thing you get an odd integer (think about the de?nition of odd)?

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