Venn Diagrams for Representing Sets

In this class, We discuss Venn Diagrams for Representing Sets.

The reader should have prior knowledge of set theory basics. Click Here.

The diagram below shows the representation of a universal set.

We use a rectangle box to represent a universal set.

Example 1:

A = {1, 2, 5}

The set A is shown using a circle.

The below diagram shows the representation of set A.

Example 2:

A = {1, 2, 5} B = { 5, 6,7}

The below diagram represents the sets A and B.

The two sets overlap because we have a common element.

The area common between the two circles is used to mention element 5.

Example 3:

A = {1, 2, 5} B = {1, 2, 5, 7, 8}

The below diagram shows the representation of sets A and B.

The set A is a subset of B.

The set A is represented inside the circle B.

Example 4:

A = {1, 2, 5, 6}

B = {5, 6, 7, 8}

C = {1, 6, 7, 9, 10}

The below diagram shows the representation of three sets.

The area common to all three circles represents the common element.