What does it mean for a set to be

Question

"closed"? (1 point)
An operation performed on
• members of that set will result in a member of the same set.
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.
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 the context of mathematics 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 two elements from the set and apply a specified operation (such as addition, multiplication, etc.), the result will also be an element of that same set. For example, the set of integers is closed under addition because adding any two integers always results in another integer.