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Subjects>Math>Other Math

What set is not closed under addition?

Updated: 4/28/2022

Wiki User

∙ 14y ago

Best Answer

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

Wiki User

∙ 14y ago

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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.

ARe odd integers not closed under addition?

That is correct, the set is not closed.

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.

What answer choice shows that the set of irrational numbers is not closed under addition?

Hennd

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.

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.

Is a rational number closed under addition?

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.

Is the set of real numbers closed under addition?

Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.

Are the set of rational numbers closed under addition?

Yes, the set is closed.

ARe odd integers not closed under addition?

That is correct, the set is not closed.

Is this set of negative numbers closed under multiplication or addition?

Yes. The empty set is closed under the two operations.

Is the set of odd numbers closed under addition?

no

Is the set of irrational numbers closed under addition?

no it is not

Is the set of integers closed under addition?

Yes it is.

What is the set of whole numbers closed by?

If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.

Under which operation is the set of odd integers closed?

addition

Is the set of rational numbers closed under addition?

Yes, it is.

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