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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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