# Operations on Sets

If two sets are A and B, then union of A and B is defined as the set that have all the elements which belong to either A or B or both. It is represented by A âˆª B.*Union of Sets*If two sets are A and B, then the intersection of A and B is defined as the set that have all the elements which belong to both A and B.*Intersection of Sets*

It is represented by A âˆ© B.

A âˆª B = {1, 2, 3, 4, 5, 6}

A âˆ© B = {2, 4}Two sets are said to be disjoint if A âˆ© B = 0, that is, not a single element is common to both of these two sets.*Disjoint Sets*For two sets A and B, A â€“ B is the set of all those elements of A that do not belong to B. Similarly, B â€“ A is the set of all those elements of B that do not belong to A.*Difference of Sets*If U is the universal set and a set A is such that A âŠ† U then complement of the set A is defined as U â€“ A and represented as Aâ€™ or A*Complement of a Set*^{c}