Subscribe to our YouTube channel for the latest videos, updates, and tips.


Venn Diagrams

Venn diagrams are useful in solving simple logical problems. Let us study about them in detail. Mathematician John Venn introduced the concept of representing the sets pictorially by means of closed geometrical figures called Venn diagrams. In Venn diagrams, the Universal Set ξ is represented by a rectangle and all other sets under consideration by circles within the rectangle. In this chapter, we will use Venn diagrams to illustrate various operations (union, intersection, difference).


What are Venn Diagrams?

Pictorial representations of sets represented by closed figures are called set diagrams or Venn diagrams. 

Venn diagrams are used to illustrate various operations like union, intersection and difference. 

We can express the relationship among sets through this in a more significant way. 

In this, 

A rectangle is used to represent a universal set.

Circles or ovals are used to represent other subsets of the universal set.

Venn diagrams in different situations

If a set A is a subset of set B, then the circle representing set A is drawn inside the circle representing set B.

Venn Diagrams

If set A and set B have some elements in common, then to represent them, we draw two circles which are overlapping.

Overlapping Sets

If set A and set B are disjoint, then they are represented by two non-intersecting circles.

Disjoint Sets

In this diagrams, the universal set is represented by a rectangular region and its subsets by circles inside the rectangle. We represented disjoint set by disjoint circles and intersecting sets by intersecting circles.

Set Theory

Sets

Objects Form a Set

Elements of a Set

Properties of Sets

Representation of a Set

Different Notations in Sets

Standard Sets of Numbers

Types of Sets

Pairs of Sets

Subset

Subsets of a Given Set

Operations on Sets

Union of Sets

Intersection of Sets

Difference of two Sets

Complement of a Set

Cardinal number of a set

Cardinal Properties of Sets




7th Grade Math Problems

From Venn Diagrams to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More