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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 m...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.
Members of a closed set cannot be added, subtracted, multiplied, or divided.
Members of a closed set cannot be added, subtracted, multiplied, or divided.
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.
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.
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.
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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.**
This definition means that if you take any two members of the set and perform a specific operation (like addition, multiplication, etc.), the result will also be a member of that set, thereby illustrating that the set is "closed" under that operation.
**An operation performed on members of that set will result in a member of the same set.**
This definition means that if you take any two members of the set and perform a specific operation (like addition, multiplication, etc.), the result will also be a member of that set, thereby illustrating that the set is "closed" under that operation.
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