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.
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 a certain operation (such as addition, subtraction, multiplication, or division) if performing that operation on any members of the set results in a member that is also within that set. For example, the set of even integers is closed under addition because the sum of any two even integers is also an even integer.

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