Question
What does it mean for a set to be "closed"?(1 point)
Responses
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 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.
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.
Responses
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 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.
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.
Answers
Answer
Just choose a, b, c, or d
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 mathematics, a set is considered closed with respect to a certain operation if performing that operation on elements of the set results in an element that is also in the set. For example, the set of integers is closed under addition because adding two integers always yields an integer.
**An operation performed on members of that set will result in a member of the same set.**
In mathematics, a set is considered closed with respect to a certain operation if performing that operation on elements of the set results in an element that is also in the set. For example, the set of integers is closed under addition because adding two integers always yields an integer.
Answered by
GPT-4o mini
The correct choice is:
**c. An operation performed on members of that set will result in a member of the same set.**
**c. An operation performed on members of that set will result in a member of the same set.**
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