Venn diagrams, equations, and examples Problem

how to present a small group of students who like to play soccer in one class. A group that likes to play badminton, or a group that likes to play both. Must be a little difficult. Therefore, this time I will share a diagram that solves the problem of the set. This diagram is able to solve set presentation problems such as finding the member set in the universe set which is presented in the form of an image.

Venn Diagram.

In presenting a set in the form of a diagram we will use a Venn diagram. This diagram was introduced for the first time by John Venn (1834 - 1923). Data was the first person to invent the Venn diagram. There are several ways to create a Venn diagram (Set), which are as follows:

How to Create a Set Venn Diagram.

Actually to create a Venn diagram is very easy just using the following steps:

1. First we create a universal set (S) in the form of a square or rectangle. The letter S can be placed in the corner of the left-hand side.

2. Every set in the universal set is closed in a simple closed curve.

3. Each member of the set is indicated by a dot

4. The set of numbers that have many members. Then the members do not need to be written.

Venn Diagram Forms.

Actually, the Venn diagram in its presentation has different forms. For more details, consider the following example of presenting a Venn diagram:

1. The presentation of the first Venn diagram is in the form of a closed curve that is mutually exclusive, try to see in the following figure:

From the above dagaram, we get the universal set S = {1,2,3,4,5,6,7,8,9,10} while the member set A = {1,2,3,4,5} and the member set B = {6,7,8,9,10}

2. Presentation of Venn diagrams that intersect because members of set A become members of set B. Can be seen in the Venn diagram as follows:

From the picture above, it can be seen that one of the members of set A becomes a member of set B, namely 4. it can be seen that the set S = {,3,4,5,6,7,8,} and the set of members A = { 3,4,5} and the member set B = {4, 5, 6,7,8} 

3. Presentation of Venn salt which member A is included in the member of set B. More details can be seen in the following figure:

From the picture above, it can be concluded that all members of A are members of B

 S = {1,2,3,4,5,6,7,8,9,10} and the member set A = {1,2,3,4,5} and the member set B = {1,2,3 ,4,5 5, 6,7}

4. The presentation of the Venn diagram of Member A is the same as that of member B. For more details, please see the following drawing of the Venn diagram:

From the Venn diagram above, it can be concluded that the members of A are also the same as the members of set B. As written S = {1,2,3,4,5,6,7,8,9,10} and the set of members A = {1, 2,3,4,5} and the member set B = {1,2,3,4,5 }

Examples of Venn Diagram Problems. There is a Venn diagram as shown below:

From the Venn diagram above, determine the members of the set A and B above are

Discussion: the problem above is a question to read the members of the set from the presentation of the Venn diagram, so from the Venn diagram above it can be written S = {1,2,3,4,5,6,7,8,9,10,11} set A ={ 1,2, 3,4,5,7} and B = {6,10}.