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.

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

1 answer

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 said to be "closed" under an operation if applying that operation to members of the set produces a result that is also a member of the same set. For example, the set of integers is closed under addition, because adding any two integers always results in another integer.