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No, the set of negative integers is not closed under addition. When you add two negative integers, the result is always a negative integer. However, if you add a negative integer and a positive integer, the result can be a positive integer, which is not in the set of negative integers. Thus, the set does not satisfy the closure property for addition.

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1mo ago

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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.


What is the rule of addition of integers?

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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.


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No.


ARe odd integers not closed under addition?

That is correct, the set is not closed.


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Yes it is.


Are all integers closed under addition?

Yes, all integers are closed under addition. This means that when you add any two integers together, the result is always another integer. For example, adding -3 and 5 yields 2, which is also an integer. Therefore, the set of integers is closed under the operation of addition.


Is the set of negative integers a group under addition?

Is the set of negative interferes a group under addition? Explain,


Under which operation is the set of odd integers closed?

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Why are the set of integers closed under addition?

The set of integers is closed under addition because the sum of any two integers is always an integer. This means that when you add two whole numbers, whether they are positive, negative, or zero, the result will still belong to the set of integers. For example, adding -3 and 5 results in 2, which is also an integer. Hence, this property ensures that no matter which integers are selected for addition, the outcome remains within the set of integers.


Is the set of even integers closed under addition and multiplication?

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