Question
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.
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.
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.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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, multiplication, etc.) if performing that operation on elements of the set always produces a result that is also in the set.
**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, multiplication, etc.) if performing that operation on elements of the set always produces a result that is also in the set.
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