The Venn diagram also called as the set diagram is used to depict set operations. It was discovered by John Venn and hence named after him. It was also used by Leonard Euler, the great Swiss Mathematician. So, these are sometimes called as the Venn - Euler Diagram or simply the Venn diagram.

These diagrams show the logical relationship among the sets under consideration. These relationships include all three basic operations - Intersection, Union, Complement. The Venn Diagram makes the entire concept very clear. Venn diagrams are also used in other fields like Statistics, Computer Science etc.

The Venn diagram is a pictorial representation of the given data. Here, we shall represent different operations that can be operated under sets and represented by the venn diagram.

A set X is called a universal set, if every set under consideration is a subset of X. The universal set is not a fixed set. In Venn diagrams, the universal set is depicted by the interior of a rectangle, whereas the subsets of universal sets are represented by the interior of circles, ellipses etc.

A set is a collection of objects out of a universal set and the members of the set are the objects contained within the set.

Let us consider U as the universal set and A is any subset of the universal set. Then it is represented in the Venn-diagram as:

Venn Diagram