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

Responses

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.

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

2 answers

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 an operation (like addition, multiplication, etc.) if performing that operation on members of the set results in an element that is also in the set.

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