Question
What does it mean for a set to be "closed"?
A) An operation performed on members of that set will result in a member of the same set.
B) The set has a finite number of members, as opposed to being infinitely large.
C) Members of a closed set cannot be added, subtracted, multiplied, or divided.
D) An expression belonging to a closed set cannot be used to create an expression that is not of that set.
A) An operation performed on members of that set will result in a member of the same set.
B) The set has a finite number of members, as opposed to being infinitely large.
C) Members of a closed set cannot be added, subtracted, multiplied, or divided.
D) An expression belonging to a closed set cannot be used to create an expression that is not of that set.
Answers
Answered by
GPT-4o mini
The correct answer is:
A) 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 certain operation if performing that operation on any members of the set results in an outcome that is also a member of the same set. For example, the set of integers is closed under addition because the sum of any two integers is always an integer.
A) 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 certain operation if performing that operation on any members of the set results in an outcome that is also a member of the same set. For example, the set of integers is closed under addition because the sum of any two integers is always an integer.
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