* But since they also serve to make the problem look more confusing, we can often reduce the names to abbreviations, D, E, and S to keep things simple. One is purely algebraic: we write a series of equations based on the given information and try to solve that set of equations. I usually find the visual approach easier to use, but sometimes for a complex problem I resort to an algebraic approach.* It’s fun making up nonsense names; and they emphasize the abstract nature of such a problem — it could be about anything! Doctor Greenie took it: There are two basic approaches to a problem like this.

In case you didn’t notice, the names are just Fred, Jane, and Davis, backward!

The "E" circle represents all the Enajs; the "D" circle represents all the Derfs; and the "S" circle represents all the Sivads.

And there is a special way of saying "everything that is not", and it is called "complement".

Last time we looked at various 2- and 3-set Venn diagram problems (and alternative methods). So let's set up both the algebraic and visual approaches to this problem and see how we can use both of them to solve your particular problem.

For example, the items you wear is a set: these include hat, shirt, jacket, pants, and so on.

You write sets inside curly brackets like this: You can also have sets of numbers: Each friend is an "element" (or "member") of the set. Now let's say that alex, casey, drew and hunter play Soccer: Soccer = (It says the Set "Soccer" is made up of the elements alex, casey, drew and hunter.) And casey, drew and jade play Tennis: Tennis = We can put their names in two separate circles: You can now list your friends that play Soccer OR Tennis.This information tells us that the combined number of elements in regions d and g (the elements that are both Enajs and Derfs) is one-third the combined number of regions a, d, e, and g (the total number of Enajs).Algebraically, we have d g = (a d e g)/3 This piece of information is equivalent to saying that there are twice as many elements in regions a and e together as there are in regions d and g together; so the above algebraic equation is equivalent to the following: a e = 2(d g)(3) Half of all Sivads are Enajs Again, we can't do a lot with this information just yet in our Venn diagram; this information tells us that the combined number of elements in regions e and g (the elements that are both Enajs and Sivads) is one-half the combined number of regions c, e, f, and g (the total number of Sivads).Item (6) tells me that the total number of Enajs is 90; item (2) tells me that there are twice as many Enajs that are NOT Derfs as there are Enajs that are Derfs.From this I conclude (10) a e = 60 and d g = 30 Then I finish the problem by combining (10) with (8) to get (11) a = 53 and by combining (10) with (7) to get (12) d = 29When I'm all done, as a check of the work I have done, I label each region of my Venn diagram with the numbers of elements I have determined for each region and go back and verify that those numbers fit all the given information.One discussion I found while collecting them deserved to be set aside for special examination, if only because it would scare the beginner. Here it is, from 2003: Derfs and Enajs: Algebra and Venn Diagrams All Derfs are Enajs. For the visual approach, we use a Venn diagram, consisting of three mutually intersecting circles that represent the Enajs, Derfs, and Sivads. And sometimes using a combination of the two helps to keep track of what I am doing towards solving the problem.This is called a "Union" of sets and has the special symbol ∪: Soccer ∪ Tennis = Not everyone is in that set ...only your friends that play Soccer or Tennis (or both).The one that I think is easiest is apparent (to me) with the Venn diagram but rather difficult to see with the algebraic approach.So let me make my explanation using the Venn diagram instead of the algebraic approach.

## Comments Solving Problems Using Venn Diagrams

## How to Use a Venn Diagram to Solve Probability Problems.

How To Use a Venn Diagram to Solve Probability Problems. The video covers how to draw the diagram and then look at a set of data and place the data in the correct part of the Venn diagram. The sample problem is as follows. Hector has entered the following names in his contact list of his cell phone. Alicia,Lisa,Steve,Don, and Ellis. Draw a Venn Diagram to represent his contact list.…

## John Venn - TeacherVision

Typical Venn diagrams use overlapping circles to represent groups of items or ideas that share common properties. Each circle represents one property, and shared properties are represented by the overlapping areas of the circles.…

## Use Venn Diagrams to Solve Problems - Grade 7 - Practice with.

Use venn diagrams to solve word problems. The browser you are using is out of date and not officially supported. You may encounter problems while using the site.…

## Venn Diagrams Explanation and Free Printable Templates

Venn diagrams make understanding logic, math, and probability easier and more fun too. You can use the printable templates given here, to solve math problems using Venn diagrams. On a lighter side, you could use them to present ideas. For instance, success can be represented as an intersection set of passion, talent, and market demand.…

## Use Venn Diagrams to Solve Problems Worksheet - Practice with.

Create a MathGames assignment using a Parent or Teacher account for a student on MathGames.…

## Venn Diagrams - Mathematics

Goal To learn how to create Venn diagrams and use them in problem solving. Grade and Course 8 th grade KY Standards MA 08-4.1.1, MA 08-4.1.4 Objectives 1. Students will be able to collect data and display it in a Venn diagram. 2. Students will be able to make inferences and conclusions from the data in a Venn diagram. 3.…

## Sets and Venn Diagrams - Math Is Fun

Sets and Venn Diagrams Sets. A set is a collection of things. For example, the items you wear is a set these include hat, shirt, jacket, pants, and so on. You write sets inside curly brackets like this…

## PART 1 MODULE 3 VENN DIAGRAMS AND SURVEY PROBLEMS EXAMPLE 1.3.

A Venn diagram is useful in organizing the information in this type of problem. Since the data refers to two categories, we will use a two-circle diagram. Let U be the set of people who were surveyed. Let E be the set of people who believe that Elvis is still alive. Let A be the set of people who believe that they have been abducted by space aliens.…

## Venn Diagram Worksheets - Set Notation Problems Using Two.

Venn diagram kindergarten worksheet to help children idenitfy animals who live in water, land or both. Venn Diagram Animals In Water And On Land Practice sorting items into groups based on attributes by using this Venn Diagram printable worksheet and help your child strengthen their sorting and reasoning skills.…