Venn Diagram of Intersection of Sets

The intersection of two or more two sets means extracting only the amount of data that is common between/among the sets. The symbol used for the intersection⇢ ∩.

n(A∩ B)= {a: a∈ A and a∈ B}

Venn Diagram

Venn Diagram: A Venn Diagram is a diagram that illustrates the logical relationship between sets and their elements. Venn diagrams utilize intersecting circles or various shapes to visually represent the logical connections among multiple sets of elements.

They are commonly used to categorize items graphically, underscoring their similarities and distinctions. In this article, we will discuss all the topics related to the Venn diagram, such as Venn Diagram definition, Venn Diagram examples, and various terms related to it. We have also provided questions on Venn Diagrams.

Venn Diagram

Table of Content

  • What is a Venn Diagram?
    • Venn Diagram Definition
  • Who invented Venn Diagram?
  • Benefits of Venn Diagrams
  • Venn Diagram Examples
  • Terms Related to Venn Diagram
    • Universal Set
    • Subset
  • Venn Diagram Symbols
  • How to Draw a Venn Diagram?
    • Representation of a Set
  • Venn Diagram for Sets Operations
  • Venn Diagram of Union of Sets
  • Venn Diagram of Intersection of Sets
  • Venn Diagram of Complement of a Set
  • Venn Diagram of Difference of Set
  • Types of Venn Diagrams
  • Venn Diagram for Three Sets
  • Representation of a Three-Set Venn diagram
  • Venn Diagram Formula
  • Uses and Applications of Venn Diagram
    • Applications of Venn Diagrams
  • Venn Diagram Examples
  • Venn Diagrams Questions
  • Venn Diagrams – FAQs

Similar Reads

What is a Venn Diagram?

Venn Diagrams are used to represent the groups of data in circles, if the circles are overlapping, some elements in the groups are common, if they are not overlapping, there is nothing common between the groups or sets of data....

Who invented Venn Diagram?

John Venn, a famous logician gave the concept of diagrams in 1918, this is why the diagrams are named Venn diagrams....

Benefits of Venn Diagrams

Venn diagram is used for the classification of data belonging to the same category but different sub-categories. The comparison of the different data becomes easier through the Venn diagram, as well as the relationship between the data. Grouping the information and finding similarities and differences among them becomes easy. The different unknown parameters can be easily understood and found with the help of Venn diagrams....

Venn Diagram Examples

Venn diagrams are highly useful in solving problems of sets and other problems. Venn diagrams are useful in representing the data in picture form. Let’s learn more about the Venn diagram through an example,...

Terms Related to Venn Diagram

The concept of the Venn diagram is very useful for solving a variety of problems in Mathematics and others. To understand more about it let’s learn some important terms related to it....

Venn Diagram Symbols

In order to draw a Venn diagram, first, understand the type of symbols used in sets. Sets can be easily represented on the Venn diagram and the parameters are easily taken out from the diagram itself. We use various types of symbols in drawing Venn diagrams, some of the most important types of symbols used in drawing Venn diagrams are,...

How to Draw a Venn Diagram?

The above symbols are used while drawing and showing the relationship among sets. In order to draw a Venn diagram....

Venn Diagram for Sets Operations

There are different operations that can be done on sets in order to find the possible unknown parameter, for example, if two sets have something in common, their intersection is possible. The basic operations performed on the set are,...

Venn Diagram of Union of Sets

The Union of two or more two sets represents the data of the sets without repeating the same data more than once, it is shown with the symbol ⇢∪....

Venn Diagram of Intersection of Sets

The intersection of two or more two sets means extracting only the amount of data that is common between/among the sets. The symbol used for the intersection⇢ ∩....

Venn Diagram of Complement of a Set

Complementing a set means finding the value of the data present in the Universal set other than the data of the set....

Venn Diagram of Difference of Set

Suppose we take two sets, Set A and Set B then their difference is given as A – B. This difference represents all the values of set A which are not present in set B....

Types of Venn Diagrams

There are various types of Venn diagrams that are widely used in Mathematics and other related fields. The various types of  Venn diagrams are categorized based on the number of sets involved or circles involved in the Universal set....

Venn Diagram for Three Sets

We can represent three sets easily using the Venn Diagram. Their representation is done by three overlapping circles. Suppose we take three sets of Set A of the people who play cricket. Set B of the people who are graduates and Set C of the people who are 18 years and above of the age....

Representation of a Three-Set Venn diagram

We can represent the intersection of three sets using the Venn diagram. The below image represents the intersection of three sets....

Venn Diagram Formula

We use various formulas of the set to find various parameters of the sets....

Uses and Applications of Venn Diagram

Venn diagrams have various use cases such as solving various problems and representing the data in an easy-to-understand format. Various uses of the Venn diagrams are,...

Venn Diagram Examples

Example 1: Set A= {1, 2, 3, 4, 5} and U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}....

Venn Diagrams Questions

Q1: Consider two sets, A and B, where A represents fruits and B represents vegetables. Set A contains apples, bananas, and grapes, while set B contains carrots, lettuce, and apples. Draw a Venn diagram to represent these sets. How many items are only in the fruit category?...

Summary – Venn Diagram

Venn diagrams, conceptualized by the English logician John Venn in the 1880s, serve as a pictorial representation of the logical relationships among various sets. By utilizing overlapping circles within a rectangle that represents the universal set, Venn diagrams visually demonstrate how sets intersect, differ, and relate to each other, with each circle symbolizing a different set. The overlapping regions depict common elements between sets, while non-overlapping areas show elements unique to each set....

Venn Diagrams – FAQs

What is a Venn Diagram in Mathematics?...