Question
Two sets that are equal must have the exact same elements. (A) True (B) False
Ask by Wade Parsons. in the United States
Mar 01,2025
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Answer
(A) True
Solution
The statement "Two sets that are equal must have the exact same elements" is:
(A) True
In set theory, two sets are considered equal if and only if they contain the same elements, regardless of the order or the number of times those elements appear.
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That’s absolutely true! Two sets are considered equal if they contain exactly the same elements, regardless of the order or how many times those elements appear. For example, the sets {1, 2, 3} and {3, 2, 1} are equal because they have the same elements, just jumbled around a bit! But here's where things get interesting: in the world of sets, duplicates don’t matter at all! So whether you have {1, 2, 2, 3} or just {1, 2, 3}, both are still just {1, 2, 3}. Sets are all about uniqueness, so no duplicates allowed!
