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What does it mean for a set to be "closed"?

a. The set has a finite number of members, as opposed to being infinitely large.
b. An expression belonging to a closed set cannot be used to create an expression that is not of that set.
c. An operation performed on members of that set will result in a member of the same set.
d. Members of a closed set cannot be added, subtracted, multiplied, or divided.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
14 days ago

The correct answer is **c. An operation performed on members of that set will result in a member of the same set.**

In mathematics, a set is said to be "closed" under a specific operation (such as addition, subtraction, multiplication, or division) if applying that operation to any elements of the set results in an element that is also in the set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.