Education

All you need to know about Venn Diagram

Learning and grasping the concepts requires proper guidance. Understanding and memorizing the fundamentals of math are a bit challenging that can be made easy by opting for the method of learning the concepts online. Math is one of the tricky subjects that require knowledge of basics and concepts. Being a student various types of problems are faced to learn about concepts, applying the formulas, etc. The learning of trigonometry, sets, algebra, algorithm, Venn diagram, exponential, etc. All the concepts are different and require proper guidance to excel and build a strong foundation of the basics. 

The benefits of opting online mode of learning are beneficial, one such site is Cuemath that has proved to strive for perfection to deliver the best way to enhance learning abilities to perform extraordinarily the best. It is an online platform that uses interactive tools to help students to visualize math. Furthermore, it acts like a key to unlocking the difficulty faced by students in math by using modern and updated methods of teaching using components of the digital method. Taking the example of the topic Venn diagrams, we can highlight the fact that every small detail is covered by educators related to the topic. 

WHAT IS VENN DIAGRAM?

A Venn diagram is the depiction of all the possible relations between different sets. Such representation is called the Venn diagram. The shape of the diagram can be a polygon, circle, hexagonal, square, etc. But it should be a closed figure to represent the diagram. 

For example, a Venn diagram can be represented by a square shape that has two individual sets of circle shapes named P and Q respectively. The individual sets are not joined, so they can be called disjoint sets. We know that if two sets are not joined they are called universal sets. 

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Considering, Set P= {Set of Even Numbers} 

                        Set Q={Set of Odd Numbers}

                         U defines the universal set, U = {Set of Natural Numbers}

The formula that can be used to solve the problem for two sets, 

     n(P Q) = n(P) + n(Q) – n(P  Q)

Similarly, if the problem is based on three sets formula,

n(P Q R) = n(P) + n(Q) + n(R) – n(P Q) – n(Q R) – n(P R) + n(P Q R)

DRAWING OF VENN DIAGRAM:

The first step for drawing is that the universal set should be known whether it is natural numbers, whole numbers, etc. Every set is placed in a rectangular shape set where the other subsets are placed. 

OPERATIONS BASED ON VENN DIAGRAMS:

Various types of operations can be performed on Venn diagrams are as follows:

  • Intersection of two Sets: The two sets interaction can be represented by the following: P ∩ Q = {x: x P and x Q}.
  • Union of two sets: The two sets in the union can be represented by the following: P Q = {x | x P or x Q}.
  • Complement of sets: The complement of the P set is the set that consists of elements that are present in the universal set but are absent in the set P.
  • Difference of sets: The difference of set is defined as the set where elements in the P set are present but are absent in the Q set.

Digital Platform has enhanced the teaching and learning technology at a great pace. It has given a golden opportunity to students to learn the concepts using the latest methods easy to comprehend. One of the online platforms is Cuemath, math experts that students can use to learn, interact and solve their doubts to achieve excellence. 

 

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