operations on set

Operations on Set :

Various operations that can be carried out on set are

1. Union

2. Intersection

3. Difference

4. Complement

Union:            A U B is union operation – if A = {1, 2, 3} B = {1, 2, 4} then

A U B = {1, 2, 3, 4} i.e. combination of both the sets.

Intersection:   A ∩ B is intersection operation. If A = {1, 2, 3} B = {1, 2, 4} then

A ∩  B = {1, 2} i.e. common elements of the both the sets.

Difference:     A – B is the difference operation - if A = {1, 2, 3} B = {2, 3, 4} then

A – B = {1} i.e. elements which are there in set A but not in set B.

Complement:  is a complement operation – if   = U –A where U is a universal set.

For example:    U = {10, 20, 30, 40}

A = {10, 20}

Then  = U – A = {30, 40}.