Question

Under what operations are the set of integers closed? Explain your answer.

Answer 1

Integers are closed under addition, subtraction, and multiplication.Integers are not closed under division, For example, 1 divided by 3 is not an integer.

Answer 2

The set of integers is closed under addition, subtraction, and multiplication.

The set of integers is not closed under division.

Give a counterexample to show that the integers are not closed under division. For example, 1 divided by 3 is not an integer.

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