Which Set Is Closed Under Subtraction

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Which Set Is Closed Under Subtraction. Venn Diagrams The universal set 𝕌 which contains all objects under consideration is represented by a rectangle. Under which operation is the set 1246816 multiplication.

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See full answer below. Real numbers are closed under addition and multiplication. Which property is illustrated in the following.

A set is closed under some operation if applying the operation on any elements of the set gives an element which is still in that set.

In the domain of the natural numbers subtraction is not always defined. The set S must be a subset of a closed set in order for the closure operator to be defined. System of whole numbers is not closed under subtraction this means that the difference of any two whole numbers is not always a whole number. If 5 is interior the set and 7 is likewise interior the set then for a.