Responses
Members of a closed set cannot be added, subtracted, multiplied, or divided.
Members of a closed set cannot be added, subtracted, multiplied, or divided.
The set has a finite number of members, as opposed to being infinitely large.
The set has a finite number of members, as opposed to being infinitely large.
An expression belonging to a closed set cannot be used to create an expression that is not of that set.
An expression belonging to a closed set cannot be used to create an expression that is not of that set.
An operation performed on members of that set will result in a member of the same set.
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The correct definition of a "closed" set in the context of mathematics is:
An operation performed on members of that set will result in a member of the same set.
This means that when you apply a specific operation (such as addition, subtraction, multiplication, or division) to the members of the set, the result is still a member of that set. For instance, the set of integers is closed under addition because the sum of any two integers is still an integer.
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