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.

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 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.

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 (such as addition, multiplication, etc.) if performing that operation on members of the set always yields a result that is also a member of that set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.