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The set of even natural numbers, {6, 8, 10, 12,..,} is closed under addition operation. Which of the following properties will it satisfy?(a) closure property(b) associative property(c) symmetric property(d) identity propertyThis question was posed to me during an interview for a job.This question is from Groups in division Groups of Discrete Mathematics

Answer»

Correct option is (a) closure PROPERTY

To EXPLAIN I would say: The SET of even natural numbers is closed by the addition as the sum of any TWO of them produces another even number. Hence, this closed set satisfies the closure property.



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