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Venn Diagram Examples With Solutions

The Definition and the Uses of Venn Diagram

Venn Diagram Examples With Solutions – Most likely, you’ve had the pleasure of reading about or seen an Venn diagram prior to. Anyone who has attended Mathematics in particular Algebra and Probability, must be familiar with this diagram. Visual tool that shows the relationship between a collection of objects. Learn more about this commonly utilized diagram in various areas and fields below.

Venn Diagram Problems With Solutions For SSC And Bank Exams

What Is a Venn Diagram?

An Venn diagram is a diagram of overlapping circles to demonstrate the relationship between objects and groups. Overlapping circles mean that they share a certain characteristic but those that do not overlap indicate that they do not share any commonality. Each circle is usually associated with information about what category it represents.

It’s used to illustrate the similarities and differences in a visual way between groups, things, or concepts. It is widely used in the education field as a valuable tool. It’s been in use around the world from the beginning in the early 20th century, at elementary educational levels, and also as an essential element of the logic curriculum.

The diagram was popularised by John Venn, an English logician during the 1880s. Similar diagrams were developed in the early 1700s in the 1700s by Leonard Euler, a Swiss mathematician, who named them Eulerian circles. The term wasn’t used until Clarence Lewis, an academic philosopher and conceptual pragmatism pioneer who used the term in 1918. In 1918, the term was used to refer to an illustration of a circle in the book he wrote, called “A Survey of Symbolic Logic.”

What Is the Purpose and Benefits of the Venn Diagram?

It is a popular Venn diagram is utilized frequently throughout the educational world. Teachers at schools use the device to help teach mathematic concepts such intersections, sets and unions. For more advanced mathematical levels it’s also used to solve difficult problems. You can also find diagrams related to statistics, specifically predictive analytics.

Apart from mathematics-related disciplines it is also used to research the similarities and the differences between different languages. In the business world it is utilized to present comparisons of products as well as services. It is also used to display any other information applicable.

Here’s the breakdown of what the diagram will be able to do:

  • Visually organize information in order in order to identify relationships (similarities or differences) between different sets of items.
  • In spite of their complexity regardless of complexity level, show the logic behind specific concepts and serve visual communication to show the relationship between them.
  • If you’re deciding on what goods or services to buy take the time to compare different options and notice the similarities and differences among them.
  • Solve a range of mathematical problems.
  • Analyze data sets to find correlations and determine the probabilities of events.
  • Reason logic that is used to support equations or statements, and the process of grouping.

One of the major reasons that Venn diagrams are so effective and popular Venn diagram has become so powerful and popular is due to its simplicity. This tool allows you to look at things in a different way, determine those areas that overlap or separate and provide visual representation of the relation. Along with pie charts, quadrant charts, bar graphs flow charts and a myriad of other tools for visualizing data They provide a powerful way to present your data or help with the method of thinking.

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Venn Diagram Symbols Meaning

  • ∪ >> Union of Two Sets. The union of two sets is represented by a full Venn diagram.
  • ∩ >> Intersection of Two Sets. The intersection of two categories reveals which things are shared between them.
  • Ac >> Complement of a Set. Whatever is not represented in a set is referred to as the complement.

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