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.

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.

Answer 1

The correct response is:

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

In mathematical terms, a set is said to be closed under a particular operation (such as addition, multiplication, etc.) if performing that operation on elements of the set always produces a result that is also in the set.