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

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.

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.
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.

1 answer

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 certain operation (like addition, multiplication, etc.) if performing that operation on members of the set always produces results that are also members of the same set. For example, the set of even integers is closed under addition, since the sum of any two even integers is also an even integer.