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.

Answer 1

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.