1)How to prove that a set is a subset of another set?? 2) Explain complement of a set....??

Set A is a subset of set B if every element of A is in B, i.e there is no element in A which is not in B. Thus, to prove that set A is a subset of set B, we prove that all elements of set A are in set B.

 

Let U be the universal set and A be a subset of U. Then the complement of A, written as A’ or A^c, is the set of all elements of U that are not in set A.