# Venn Diagram Intersection And Union

Table of Contents

## The Definition and the Uses of Venn Diagram

Venn Diagram Intersection And Union – Most likely, you’ve read about or encountered a Venn diagram before. Anyone who has taken Mathematics, especially Algebra and Probability, must be familiar with this diagram. This is an image aid used to illustrate the relationship between a collection of objects. Learn more about this often used diagram in different areas and fields below.

## What Is a Venn Diagram?

An Venn diagram is a sketch of overlapping circles in order to show the interrelationships between different items as well as groups. Overlapping circles mean that they share certain traits but those that do not overlap indicate that they do not have any similarities. Each circle is usually with a description of what it’s representing in terms of.

It is used to represent similarities and differences visually among different objects, groups, or concepts. It is commonly found in the educational field as a valuable tool. It’s been in use all over the world since the midst of the 20th century, at elementary educational levels, and also as an essential component of the curriculum for logic.

The diagram was popularised through John Venn, an English logician from the 1880s. Similar diagrams were invented in the late 1700s through Leonard Euler, a Swiss mathematician. He referred to them as Eulerian circles. The term was not used until Clarence Lewis, an academic philosopher and conceptual pragmatism’s founder who used the term in 1918. At the time, it was used to describe an illustration of a circle in the book he wrote, named “A Survey of Symbolic Logic.”

## What Is the Purpose and Benefits of the Venn Diagram?

It is a popular Venn diagram is used extensively in the academic world. Teachers in the school utilized this tool to help teach mathematic concepts, such as sets, intersections and unions. In more advanced levels of mathematics the tool is also used to tackle complicated problems. You can also easily find diagrams within the field of statistics, particularly predictive analytics.

Beyond mathematics-related fields, it is also utilized to examine the similarities and distinctions between various languages. In the world of business it is used to show comparisons between products or services and everything else relevant.

Here’s the description of how the diagram could do:

• Visually organize information in order to identify relationships (similarities as well as differences) between different sets of items.
• Regardless of the complexity level show the logic behind particular concepts. They also serve as visual aids to show the connections between them.
• If you’re deciding on what goods or services to buy take the time to compare different options and clearly see the similarities and distinctions between them.
• Solve many mathematical problems.
• Analyze data sets to identify correlations, and evaluate the probabilities of events.
• Reason logic that supports equations or statements, as well as an approach to grouping.

One of the primary reasons for why it is that the Venn diagram has become so effective and so popular is because of its ease of use. It lets you examine things, find out where they overlap and separate and also serve as visual representation of the relationship. Along with pie charts, quadrant charts, bar graphs flow charts, as well as a variety of other tools for visualizing data They provide a powerful way to present your data or assist in the method of thinking.

## 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.