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

Responses

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.
The set has a finite number of members, as opposed to being infinitely large.

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.
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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 particular operation (such as addition, subtraction, multiplication, or division) if performing that operation on members of the set always produces a result that is also a member of the same set. For example, the set of even numbers is closed under addition, since the sum of any two even numbers is also even.