Union and Intersection of Sets and the Difference of Two Sets

Union and Intersection of Sets and the Difference of Two Sets.

Set Operations. The set operations are performed on two or more sets to obtain a combination of elements, as per the operation performed on them. There are three major types of operations performed on sets, such as: Union of sets (∪) Intersection of sets (∩) Difference of sets ( – ).

Union of Sets. If two sets A and B are given, then the union of A and B is equal to the set that contains all the elements, present in set A and set B. This operation can be represented as; A ∪ B = Where x is the elements present in both the sets A and B..

If two sets A and B are given, then the intersection of A and B is the subset of universal set U, which consist of elements common to both A and B. It is denoted by the symbol ‘∩’. This operation is represented by: A∩B = Where x is the common element of both sets A and B..

Difference of Two Sets. If there are two sets A and B, then the difference of two sets A and B is equal to the set which consists of elements present in A but not in B. It is represented by A-B..