For example, a company producing a new gaming console will want to know more about the kind of people who are most likely to buy gaming consoles. Market Research is generally conducted by industries and companies to find out more about their target audience and develop sales strategies accordingly. Venn Diagrams are a popular method of graphically representing Data due to their versatility and how easy they are to understand. As a result, it is vital to clearly classify and represent Data accurately. A lot of scientific research is generally concerned with answering questions related to scientific phenomena, concepts, and theories. Scientific Research is another area in which Venn Diagrams are heavily used. For example, the Government census is a form of statistical analysis that gathers Data about the citizens of a country and categorises them based on age, gender, income level, language, religion, etc. This field often intersects with other fields because statistical analysis is used in many different areas and industries. Statistics is a branch of Mathematics that deals with the collection, analysis, and representation of Data. Some of the fields in which Venn Diagrams are regularly used are listed below: Therefore, it is only natural that they are used in several fields. Venn Diagrams are an extremely popular way of representing information. Hence, the above 3 circle Venn Diagram shows A ∩ B ∩ C. Solution: The 3 circle Venn Diagram represents the common elements between A, B, and C. What Does the Shaded Portion in the Venn Diagram Given Below Denote? Answer the Following Based on the Venn Diagram Given BelowĢ. Hence, the above Venn Diagram clearly states that A ∩ B = Aġ. 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. A Venn Diagram is a Diagram that represents the relationship between and among a finite group of Sets.
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