Venn diagram provides a method for solving logic diagrams for complex mathematical problems. Venn diagrams are useful in visualization of mathematical problems that involve classification or belonging to a group (Johnson & Mowry, 2008). They help in finding intersection of set and unions of sets. For example, John and Joel owns 20 companies, if john owns 8 companies and Joel owns 5 companies, while they own the rest jointly. This can be represented in a Venn diagram as below.
The intersection of the Venn diagram shows that they jointly own 7 companies. Moreover, improves understanding of the problem, and it is easy to obtain solutions.
Venn diagrams are essential in understanding concepts in set theory (Johnson & Mowry, 2008). Unions, intersection, and elements in each set are represented in a Venn diagram. For example, demonstrating the concept of proper set, A , can be well understood when represented in a Venn diagram as shown below.
In this case, it can be seen that all elements in A are also elements in B, but B contains other elements not equal to A. therefore, A is a proper set of B. therefore, elements
Lastly, Venn diagrams form a useful tool for presenting, organizing and finding solutions to complex mathematical problems (Johnson & Mowry, 2008). For example, in a survey 338 persons checked theater box and while 495 checked the DVD box, If 281 checked both, and 98 were blank. How many people watched theater only?
The problem can be analyzed by organizing the information in a Venn diagram as shown below.
After representing the information in the Venn diagram, the problem can now be solved by finding the value that lies in T only, and is equivalent to 338-281 = 107. The Venn diagram method to finding solutions provides an easy way for evaluating solutions of mathematical problems.
References
Johnson, D. B., & Mowry, T.A. (2008). Mathematical: A practical Odyssey. New York: Cengage Learning.
