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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.
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.
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.
Answers
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 said to be "closed" under an operation (such as addition, multiplication, etc.) if performing that operation on members of the set always yields a result that is also a member of that set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.
**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 an operation (such as addition, multiplication, etc.) if performing that operation on members of the set always yields a result that is also a member of that set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.
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