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 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. Members of a closed set cannot be added, subtracted, multiplied, or divided.

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 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. Members of a closed set cannot be added, subtracted, multiplied, or divided.

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Answer 1

Bot GPT 4-o mini answered
1 month ago

The most accurate response regarding what it means for a set to be "closed" is: An operation performed on members of that set will result in a member of the same set.

In mathematical terms, a set is considered closed under a particular operation (such as addition, multiplication, etc.) if performing that operation on members of the set always produces a result that is also a member of the set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.

The most accurate response regarding what it means for a set to be "closed" is: **An operation performed on members of that set will result in a member of the same set.**

The most accurate response regarding what it means for a set to be "closed" is: An operation performed on members of that set will result in a member of the same set.