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

What is closed and not-closed under addition?

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


Why are odd integers closed under multiplication but not under addition?

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


Are odd numbers closed under subtraction?

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.


Is the set of odd numbers is closed under multiplication but is not under addition?

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.


Is the odd counting numbers closed for addition?

No.


What set is not closed under addition?

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


Is there a subset of the natural numbers that is closed for addition?

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.


How do i solve the set of odd numbers is closed under addition?

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


ARe odd integers not closed under addition?

That is correct, the set is not closed.


Are odd numbered sets closed under addition and multiplication?

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.


Why the set of odd integers under addition is not a group?

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


Under which operation is the set of odd integers closed?

addition

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