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.
Members of a closed set cannot be added, subtracted, multiplied, or divided.
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 considered "closed" with respect to an operation if applying that operation to members of the set always produces a result that is also a member of that set. For example, the set of integers is closed under addition because adding any two integers results in another integer.
