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What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
Is the set of odd numbers closed under addition?
no
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.
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.
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 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.
What set is not closed under addition?
The set of all odd numbers. 1+1=2
What is the sum of the first 500 odd counting numbers?
The sum of the first 500 odd counting numbers is 250,000.
ARe odd integers not closed under addition?
That is correct, the set is not closed.
How many counting numbers less then 30 are composite but nei ther odd or even?
None of them. All counting numbers are either odd or even.
How many counting numbers less than 30 are composite but neither odd nor even?
None. All counting numbers are even or odd.
