# Sets And Venn Diagrams In Maths Pdf

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Published: 02.06.2021

*It is natural for us to classify items into groups, or sets, and consider how those sets overlap with each other. We can use these sets understand relationships between groups, and to analyze survey data.*

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- venn diagrams and set notation
- Complement of a Set using Venn Diagram

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Solved basic word problems on sets:. Different types on word problems on sets:. In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. How many like both coffee and tea? There are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class. B be the set of students in dance class.

## venn diagrams and set notation

A Venn diagram is a widely-used diagram style that shows the logical relation between sets , popularised by John Venn in the s. The diagrams are used to teach elementary set theory , and to illustrate simple set relationships in probability , logic , statistics , linguistics and computer science. A Venn diagram uses closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses. Similar ideas had been proposed before Venn. A Venn diagram may also be called a primary diagram , set diagram or logic diagram.

Mathematicians use Venn diagrams to show the logical relationships of sets collections of objects to one another. Perhaps you have already seen Venn diagrams in your algebra or other mathematics studies. If you have, you may remember overlapping circles and the union and intersection of sets. We will review the overlapping circles of the Venn diagram. We will adopt the terms OR and AND instead of union and intersection since that is the terminology used in digital electronics. The Venn diagram bridges the Boolean algebra from a previous chapter to the Karnaugh Map.

In a class, there are 15 students who like chocolate. If there are 35 people in the class, how many students like chocolate and vanilla? In order to find the intersection of chocolate and vanilla, it is easiest to make a Venn Diagram. The outside of the Venn Diagram is 10, and the total of the entire diagram must equal A given company has employees. Of those employees, are computer science majors. How many employees have majors other than computer science and mathematics?

## Complement of a Set using Venn Diagram

To understand, how to solve venn diagram word problems with 3 circles, we have to know the following basic stuff. Theorem 2 :. Explanation :. In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry , 22 had taken chemistry and physics course, and 14 had taken all the three courses.

These Venn Diagram Worksheets are great for testing students on set theory and working with Venn Diagrams. These Venn Diagram Worksheets are dynamically created for you so you will have an endless supply of quality material to use in the classroom. Use them for practicing Venn Diagrams to solve different sets, unions, intersections, and complements.

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