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What does it mean for a set to be "closed"?(1 point) Responses 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 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.
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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" under a particular operation (such as addition, subtraction, multiplication, or division) if applying that operation to any members of the set results in a value that is also a member of the set. For example, the set of real numbers is closed under addition because adding any two real numbers results in another real number.
In mathematics, a set is considered "closed" under a particular operation (such as addition, subtraction, multiplication, or division) if applying that operation to any members of the set results in a value that is also a member of the set. For example, the set of real numbers is closed under addition because adding any two real numbers results in another real number.
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