Question

What does it mean for a set to be "closed"?(1 point) Responses 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. Members of a closed set cannot be added, subtracted, multiplied, or divided. 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. The set has a finite number of members, as opposed to being infinitely large.

Answer 1

The correct interpretation of a closed set, particularly in mathematics, is:

An operation performed on members of that set will result in a member of the same set.

In this context, a set is considered closed under a particular operation (such as addition, subtraction, multiplication, or division) if the result of applying that operation to any members of the set also produces a member of the same set. For example, the set of even integers is closed under addition since the sum of any two even integers is also an even integer.