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Show that every positive even integer is of the form 2q, and that every

positive odd integer is of the form 2q + 1, where q is some integer


If q is some integer,
Multiplying it by 2 gives an even number as 2 is an even number
So, 2q is an even number

Adding 1 to an even number gives an odd number,
So, 2q + 1 is an odd number
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