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If B is a null set and A is some set then which one of the following is false?(a) B⊆A(b) B∪A=A(c) B∩A=A(d) B∩A=BThis question was posed to me by my college professor while I was bunking the class.This is a very interesting question from The Empty Set topic in portion Sets of Mathematics – Class 11

Answer»

The correct answer is (C) B∩A=A

To ELABORATE: An empty set is a subset of every set, also the union of a set with an empty set gives the set itself, SINCE, there are no elements in an empty set hence INTERSECTION with an empty set gives empty set.



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