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Let S be the set of negative integers which are divisible by 5. Is the set S closed under: addition? subtraction? multiplication? division by non-zero

LetSbe the set of negative integers which are divisible by 5. Is the setSclosed under:

addition?

subtraction?

multiplication?

division by non-zero values?

Explain your answer for each of the operations, including a reason why it would be closed or an example to show why it is not closed.

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