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

Question

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.

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.

The set has a finite number of members, as opposed to being infinitely large.

Answer 1

A set is considered "closed" under a particular operation if performing that operation on members of the set results in a member that is also in the same set. The correct response would be:

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