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.

Answer 1

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.