Question

What does it mean for a set to be "closed"?(1 point) Responses An operation performed on members of that set will result in a member of the same set. An operation performed on members of that set will result in a member of the same set. 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.

Answer 1

The correct response for what it means for a set to be "closed" is:

**An operation performed on members of that set will result in a member of the same set.**

In mathematical terms, a set is considered closed under a particular operation if applying that operation to members of the set always yields a result that is also a member of the set. For example, the set of integers is closed under addition, since the sum of any two integers is also an integer.