Unless you restrict the range, that's an infinite set. 3, 1, -1, -3, -5 and so on.
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1, 3, 5
1 is an odd number
You can't. Adding any two odd numbers always gives an even number, which is not a member of the set of odd numbers.
Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.
the set of odd numbers is infinite