Find two sets A and B such that A ? B and A ? B.

Solution:Step-1: In this problem we need to find two sets A and B such that and . NOTE: A set A is a subset of a set B , or equivalently B is a superset of A , if A is contained inside B, that is all elements of A are also elements of B. A and B may coincide.That is and Step-2: means A is contained inside B, that is all elements of A are also elements of B. A and B may coincide.We know that in every set is an element.So , and .Hence , by the definition of subset and .Consider , and .It is clear that , and .