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Q: Is the set of odd numbers closed under addition?

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3 5 7 9 11 13 15 17 19....the sum total of these numbers is100..make it a group of 5-5..so that each group has its sum totAL OF 50.

25

Yes, the factors of all odd numbers are odd numbers.

The sum of an odd number of odd numbers will be odd.

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The set of even numbers is closed under addition, the set of odd numbers is not.

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.No, nor under addition, either. The sum or difference of two odd numbers is NOT an odd number.

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.

No.

The set of all odd numbers. 1+1=2

Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.

You can't. Adding any two odd numbers always gives an even number, which is not a member of the set of odd numbers.

That is correct, the set is not closed.

No. 1 + 3 = 4, which is not odd. In fact, no pair of odds sums to an odd. So the set is not closed under addition.

Because the set is not closed under addition. If x and y are odd, then x + y is not odd.

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