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If a set has closure with regards to certain operations then any solution that is obtained using those operations must belong to that set.

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Q: How can closure help understand the type of solution you might expect with operations?
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How can closure property help understand the type of solution you might expect with operations?

In a group with closure the solution to the operation must be a number from the same set. The set of integers and the set of rational numbers are closed under addition. So the sum of two (or more) integers must be an integer, the sum of rational numbers must be a rational number.


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