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.

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.

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

1 answer

The correct response to 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.

This definition refers to the property of a set with respect to a specific operation. For example, the set of integers is closed under addition because adding any two integers results in another integer.