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

Question

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.
Members of a closed set cannot be added, subtracted, multiplied, or divided.
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Answer 1

In the context of mathematics, a set is considered "closed" under a specific operation if performing that operation on members of the set always results in a member of the same set. Therefore, the correct response is:

An operation performed on members of that set will result in a member of the same set.