A ∩ B implies that we have to shade the common portion of A and B. For example, the Venn Diagram subSet shown below states that A is a subset of B.Ī is the subSet of B, therefore, we will draw a small circle A inside the big circle B.
In other words, If every element in one Set is included in another Set, they are called a subSet. The real Number Venn Diagram is shown below clearly illustrates the Set of real Numbers.Īlthough Venn Diagrams are commonly used to represent intersection, union, and complements of Sets, they can also be used to represent subsets.Ī subSet is a Set that is completely included in another Set. We can represent the Set of real Numbers using a Venn Diagram as shown below. The Set of real Numbers includes the Set of rational Numbers and the Set of irrational Numbers. The above Venn Diagram states that X and Y have no relation to each other, but they are part of a Universal Set.įor example, Set X = is a Set. The two disjoint Sets X and Y are represented in a circular shape. Therefore, X and Y are considered as disjoint Sets. In the above Venn Diagram, we can see that the rectangular universal Set includes two independent Sets X and Y. Generally, circles are used to denote each Set. A Venn Diagram can be represented by any closed figure whether it be a circle or polygon. The Sets and subSets are represented by using circles or ovals.Ī Venn Diagram is a diagram that is used to represent all the possible relations of different Sets. The universal Set is usually represented by a closed rectangle, consisting of all the Sets. In the above Venn Diagram, the Set of integers represents the universal Set, and the Set of Natural Numbers (N) is a subset of the whole Number (W). The relationship between a Set of Natural Numbers, Whole Numbers, and integers can be represented by the Venn Diagram as shown below. It is also used to represent SubSets of a Set.įor example, a Set of Natural Numbers is a subSet of whole Numbers, which is a subSet of integers.
These Diagrams are also known as Set Diagrams or logic Diagrams showing different Sets of operations such as the intersection of the Set, union of the Set, and difference of Sets. Venn Diagram was introduced by John Venn around 1880. Venn Diagrams can also be made with triangles, rectangles, squares, and other shapes, yet they are rarely used.A Venn Diagram is a Diagram that represents the relationship between and among a finite group of Sets. Another shape you can often see is an ellipse. As you will see the first sample diagram is made with circles, which is also the most commonly used shape. Further down we will try to demonstrate some of these uses in real life.īefore we show you real-life examples of Venn diagrams, here are 3 template diagrams demonstrating the different shapes used to make a Venn diagram, as well as few various arrangements.
Venn diagrams can also be used to describe overlapping responsibilities of two teams (or departments) during a project, or visualizing the proportion between the whole and parts of it. Another common use of Venn diagrams is to describe the result of combining several items. Most commonly, Venn diagrams are used to display the similarities or the differences between two or more items. Although the actual origin of the Venn Diagrams is questionable, their usage in modern days leaves no room for hesitation. Naturally, he did not call them Venn diagrams, but Eulerian Circles - named after Leonhard Euler who used similarly looking visual representations during the 18th century. Venn Diagrams (also known with the name Eulerian Circles) was first introduced by John Venn in 1880.
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