regions in a Venn diagram for n sets, but can create at most n2 – n + 2 regions from the intersection of n circles. This means we can construct Venn diagrams using circles only for three or fewer sets. Suppose we need a Venn diagram for 4 sets. We know we cannot use circles, congruent or otherwise.

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.

The region of intersection of the three circles. in the order three Venn diagram in the special case of the center of each being located at the intersection of the other two is a geometric shape known as a Reuleaux triangle.

The union symbol ∪ Venn diagrams are comprised of a series of overlapping circles, each circle representing a category. To represent the union of two sets, we use the ∪ symbol — not to be confused with the letter ‘u.

How to Make a Venn Diagram

1. The first step to creating a Venn diagram is deciding what to compare. Place a descriptive title at the top of the page.
2. Create the diagram. Make a circle for each of the subjects.
3. Label each circle.
4. Enter the differences.
5. Enter the similarities.

Venn diagrams are commonly associated with education. They are frequently used in mathematics to understand set theory and also used to do various comparisons in the classroom. The power of Venn diagram lie in its simplicity. They are great for comparing things in a visual manner and to quickly identify overlaps.

Venn diagrams are named after British logician John Venn. He wrote about them in an 1880 paper entitled “On the Diagrammatic and Mechanical Representation of Propositions and Reasonings” in the Philosophical Magazine and Journal of Science.

What are the four benefits of using Venn diagrams?

• The venn diagrams are use for both comparison and classification.
• 2.It groups information into different chunks.
• 3.It categorizes and classifies information.
• It highlight similarities and differences.

Answer: Venn diagram strategy will support students to develop reading comprehension, to identify the main ideas, to compare to text. diagram strategy students not only compare and contrast the text but also student can develop reading comprehension and identify the main idea of the text.

Answer: Concept maps are drawings or diagrams used to help students organize and represent knowledge of a subject. Concept maps begin with a main idea (or concept) and then branch out to show how that main idea can be broken down into specific topics.

Venn diagrams enable students to organise information visually so they are able to see the relationships between two or three sets of items. They can then identify similarities and differences. A Venn diagram consists of overlapping circles. Each circle contains all the elements of a set.

Formulas of Sets n(P U Q) represents the number of elements present in one of the sets P or Q. n(P ⋂ Q) represents the number of elements present in both the sets P & Q. n(P U Q) = n(P) + (n(Q) – n (P ⋂ Q)

A universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements. Say if A and B are two sets, such as A = {1,2,3} and B = {1,a,b,c}, then the universal set associated with these two sets is given by U = {1,2,3,a,b,c}.

The English mathematician John Venn (1834−1923) began using diagrams to represent sets. This larger set is called the universal set, and is usually given the symbol E. In a Venn diagram, the universal set is generally drawn as a large rectangle, and then other sets are represented by circles within this rectangle.