Use two hula hoops to make a Venn diagram on the floor or on a large table. Give students a group of objects and ask them to sort them into two categories, with some overlap. For students who need more support, label the circles. For students who could use more challenge, have them come up with the categories.

Sets are represented in a Venn diagram by circles drawn inside a rectangle representing the universal set. The region outside the circle represents the complement of the set. Two circles together represent the union of the two sets.

A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S. Venn diagrams were conceived around 1880 by John Venn.

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 things you need to consider are the similarities and differences of the 2 or more given situations or topics. You must know what are their characteristics to know their similarities and differences . Explanation: What’s a diagram of Venn?

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.

The definition of a diagram is a graph, chart, drawing or plan that explains something by showing how the parts relate to each other. An example of diagram is a chart showing how all the departments within an organization are related.

Simply draw two (or three) large circles and give each circle a title, reflecting each object, trait, or person you are comparing. Inside the intersection of the two circles (overlapping area), write all the traits that the objects have in common. You will refer to these traits when you compare similar characteristics.

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.

A Venn diagram is an illustration of the relationships between and among sets, groups of objects that share something in common. The drawing is an example of a Venn diagram that shows the relationship among three overlapping sets X, Y, and Z. The intersection relation is defined as the equivalent of the logic AND.

A Venn diagram shows the relationship between a group of different things (a set) in a visual way. Using Venn diagrams allows children to sort data into two or three circles which overlap in the middle.

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.

Union of Sets

Venn Diagrams

1. If a set A is a subset of set B, then the circle representing set A is drawn inside the circle representing set B.
2. If set A and set B have some elements in common, then to represent them, we draw two circles which are overlapping.

They are often confused with Euler diagrams. While both have circles, Venn diagrams show the whole of a set while Euler diagrams can show parts of a set. Venn diagrams can have unlimited circles, but more than three becomes extremely complicated so you’ll usually see just two or three circles in a Venn diagram drawing.

Solution:

1. For the Venn diagram: Step 1: Draw three overlapping circles to represent the three sets.
2. Step 2: Write down the elements in the intersection X ∩ Y ∩ Z.
3. Step 3: Write down the remaining elements in the intersections: X ∩ Y, Y ∩ Z and X ∩ Z.
4. Step 4: Write down the remaining elements in the respective sets.

union of the sets A and B

The symbol used for the intersection of two sets is ‘∩’. Therefore, symbolically, we write intersection of the two sets A and B is A ∩ B which means A intersection B.

union of two sets

intersection of sets

Let A and B be sets. A is a subset of B, A C B: every member of A is also a member of B. Other books use A Ç B for this concept. Here A C B even when A = B. If A is the set of humans and B is the set of mammals, then A C B.

Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn’t affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.

Algebra: n(A U B) = n(A) + n(B) – n(A n B) so 20 = n(A) + 10 – 5 OR n(A) = 15.

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there’s only a single 3 on each die), and the number of outcomes is 6.