What does it mean for a set to be "closed"?(1 point)

Question

Responses

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.

Members of a closed set cannot be added, subtracted, multiplied, or divided.
Members of a closed set cannot be added, subtracted, multiplied, or divided.

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

Answer 1

The correct response is:

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

In mathematics, a set is considered "closed" under a particular operation if performing that operation on 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.