Venn diagram

Venn diagram

A venn diagram is a diagrammatic representation of a set and its relation and operations on sets. Usually, a rectangle is used to represent a universal set and the circles or oval shapes are used to represent the subsets of the universal set. This concept was first introduced by Swiss mathematician, Euler and it was further developed by the British mathematician John Venn. So the diagrams are famous as Venn Euler diagrams or simply Venn diagrams.

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Study the following illustrations of the representation of set relations by using Venn diagrams.

Representation of given sets in a venn diagram:

Let, U = {1,2,3,4,5,6,7,8,9,10}

       A = {1, 2, 3, 4}

       B = {2, 4, 6, 8}

       C = {1, 2, 8, 9}

Then the above information can be represented by the venn diagram as given below:

Workout Examples

Example 1: If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 3, 4, 5}, Q = {2, 4, 6, 7, 8} and R ={3, 4, 6, 9}, show the information in a Venn diagram.

Solution: Here, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

                            A = {1, 2, 3, 4, 5}

                            B = {2, 4, 6, 7, 8}

                            C = {3, 4, 6, 9}

                Venn diagram:

You can comment your questions or problems regarding the sets and venn diagrams here.