Question
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. An expression belonging to a closed set cannot be used to create an expression that is not of that set.
Answers
GPT-4o mini
The correct definition of a "closed" set in terms of mathematical operations is: **An operation performed on members of that set will result in a member of the same set.**
This means that if you take any members of the closed set and apply a certain operation (like addition, multiplication, etc.), the result will also be a member of that same set. For example, the set of even integers is closed under addition because the sum of any two even integers is also an even integer.
This means that if you take any members of the closed set and apply a certain operation (like addition, multiplication, etc.), the result will also be a member of that same set. For example, the set of even integers is closed under addition because the sum of any two even integers is also an even integer.