Set Operations and Venn Diagrams " Please respond to the following:

QUES: Create a story problem that demonstrates how a Venn diagram could be used to illustrate combined operation with sets.

ANS: Use a Venn diagram to illustrate the following scenario: There are 40 people in a drum corp. Of the 40 people, 20 play the snare drum; 10 play the trumpet; 5 plays the cymbals. There are 5 people that play both the snare drum and cymbals; and 3 play all three instruments. How many people don’t play any instruments?

QUES: Give two reasons why Venn diagrams can be useful in explaining relationships. Provide an example in which you have used a Venn diagram to study a relationship between two items or sets.

ANS: The two reason I believe that a Venn diagram might be useful are in the following circumstances:

1.To illustrate two (2) groups that have different preferences, such as, Football and Basketball and; also the combination of the two (2) for the ones that prefers both. 2.To show the similarities and differences of particular concepts, objects or groups.

An example where I have used a Venn diagram to study a relationship between two items has to do with a representing the similarities of two overlapping circles. “Cats” and “Animals in Africa,” where the area in which the circles overlapped provided the results for “Cats in Africa.”

QUES: Imagine you are talking about your college math class over the family dinner table with your father, and he asks, “What are Venn diagrams?” Describe how you would explain them to him.

ANS: I would explain to my father that, Venn diagrams are diagrams with overlapping circles. They are used to show the similarities and differences of particular concepts, objects or groups. Venn diagrams are relatively easy to learn how to use once you understand the core concepts involved.

...A Venndiagram is a drawing, in which circular areas represent groups of items usually sharing common properties. The drawing consists of two or more circles, each representing a specific group or set. This process of visualizing logical relationships was devised by John Venn (1834-1923).
Each Venndiagram begins with a rectangle representing theuniversal set. Then eachset of values in the problem is represented by a circle. Any values that belong to more than one set will be placed in the sections where the circles overlap.
The universal set is often the "type" of values that are solutions to the problem. For example, the universal set could be the set of all integers from -10 to +10, set A the set of positive integers in that universe, set B the set of integers divisible by 5 in that universe, and set C the set of elements -1, - 5, and 6.
The Venndiagram at the left shows two sets A and B that overlap. The universal set is U. Values that belong to both set A and set B are located in the center region labeled where the circles overlap. This region is called the "intersection" of the two sets....

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1. What is set?
Answer: A set in mathematics is a collection of well defined and distinct objects, considered as an object in its own right. Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived. In mathematics education, elementary topics such as Venndiagrams are taught at a young age, while more advanced concepts are taught as part of a university degree.
A set is a well defined collection of objects. Georg Cantor, the founder of set theory. A set is a gathering together into a whole of definite, distinct objects of our perception and of our thought which are called elements of the set.
The elements or members of a set can be anything: numbers, people, letters of the alphabet, other sets, and so on. Sets are conventionally denoted with capital letters. Sets A and B are equal if and only if they have precisely the same elements.
As discussed below, the definition given above turned out to be inadequate for formal mathematics; instead, the notion of a "set" is taken as an undefined primitive in axiomatic set theory, and its properties are defined by...

...goals after ignoring this vital component and commencing operations without the adequate information about the market and the industry. Since the sole purpose of any business organization is to provide products and services that add value to the lives of their customers and at the same time earn profit, it important to study the dynamics of the market and to formulate strategies that will help the company achieve its goals and objectives.
Domino Pizza, an internationally renowned establishment, cannot fail to conduct a demand analysis as it ventures out in Waldorf area. Failure of this venture would negatively affect the company`s image and would also be a huge financial loss as setting up operations requires a lot of capital to pay the contracted workforce, pay for advertising expenses ,pay rental fees and also buying the needed supplies. Domino`s has decided to venture out in Waldorf because the prospects look promising and the company hopes to entrench it presence in the area but only the demand analysis will reveal whether the company`s optimism is well founded or if should abandon this venture and choose another location. The variables that will be used to conduct the demand analysis include price, income, size of the population, competition and also the effect on advertising on demand (Mohaupt & Citizens Research Council of Michigan., 1945).
Domino`s will need to set...

...PART 1 MODULE 3 VENNDIAGRAMS AND SURVEY PROBLEMS EXAMPLE 1.3.1 A survey of 64 informed voters revealed the following information: 45 believe that Elvis is still alive 49 believe that they have been abducted by space aliens 42 believe both of these things 1. How many believe neither of these things? 2. How many believe Elvis is still alive but don't believe that they have been abducted by space aliens? SOLUTION TO EXAMPLE 1.3.1 When we first read the data in this example, it may seem as if the numbers contradict one another. For instance, we were told that 64 people were surveyed, yet there are 45 who believe that Elvis is alive and 49 who believe that they've been kidnapped by space aliens. Obviously, 45 + 49 is much greater than 64, so it appears that the number of people who responded to the survey is greater than the number of people who were surveyed. This apparent contradiction is resolved, however, when we take into account the fact that there are some people who fall into both categories ("42 believe both of those things"). A Venndiagram 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...

...VennDiagrams Paper
Math 156
Jacqueline Burrell
May 13, 2012
Evan Schwartz, instructor
How VennDiagrams Can Help Students in Math
Venndiagrams are used in math to visually assist students when grouping real sets or implied ideas. The diagrams were invented by John Venn and are his only known accomplishments in the science of mathematical logic (Stapel, 2012).
The diagram begins with all related information and is named the universal set. In this set all the known information pertaining to the problem or ideas are grouped. Within this group we have at least two subset or classifications. Information is placed in the correlating group. This information may overlap creating an intersection of the groups. This intersection shows the similarities of the groups and provides a basis for further conclusions based on the grouping of the diagram (Billstein, Libeskind, & Lott, 2010).
Recognizing Shapes and Colors
Group A contains five (5) rectangles and three (3) triangles. All items in group A are red. Group B contains seven (7) triangles; four (4) are green. The other triangles are red. Draw a Venndiagram illustrating these conditions, and then answer the following questions by looking at the diagram (Burrell, 2012).
(Microsoft...

...Today in education there are many individuals that need laws that are implemented under the IDEA (Individuals with Disabilities Education Act), which is enforced by Public Law 94-142. This act implements certain plans that individuals with disabilities can use to help them with their special needs within a classroom. The Individualized Family Service Plan (IFSP), the Individualized Education Plan (IEP) and the 504 plan all have many some things in common. However there are also many differences that these three plans have.
The IFSP enforced by Public Law 99-457, is a plan that is targeted for children ages zero to two. The IFSP is created around the family’s specific concerns of their child and his or her disability. The IFSP is supposed to facilitate the development of the child and help the family to be able to develop the child too. Through the IFSP, the family and service providers work together to plan, implement and evaluate services that help the family with its concerns for their child. The services provided by the IFSP must be provided in the child’s natural environment such as their home. The IFSP should be developed within forty-five days of the referral. Once the IFSP has been implemented it must be reviewed at least every six months to help ensure that the child is on track with the current plan. The IFSP is enforced through part C of the IDEA. According to this part of the IDEA, the IFSP shall be in writing and contain statements of the family’s resources,...

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Middle Ages Venndiagram and Essay
Sheena Thiebaud
Prof. Janet Shepherd
Averett University
May 1, 2015
Early Middle Ages (c. 500 CE to 1000 CE)
High Middle Ages (c. 1001 CE to 1300 CE)
Late Middle Ages (c. 1301 CE to 1500 CE)
Inventions of The Middle Ages
The Middle Ages is attributed to great human innovations and inspiration whereby most of the modern innovations originated during this historical period. Ranging from the time of the William the Conqueror invasion in 1066 to the commencement of the Tudor dynasty around 14th century which experienced a lot of wars that in turn led to the development in science and technology, medicine, weaponry among other inventions (Gies & Gies, 1995). Although The Middle Ages experienced constant warfare, it resulted to some changes in the approach in which wars were conducted and the tools used during the wars by the troops. There was outbreak of pestilence and plagues facilitated the invention of medicine.
It was due to this turbulent that led to generation of ideas and implementation which later paved way to great innovations and inventions. Types of inventions which occurred during the Middle Ages included weaponry and warfare inventions, nautical, farming, timekeeping and general inventions. Several inventions drastically changed the approach in which the wars were fought during The Middle Ages. For instance, the discovery of gunpowder contributed to the inventions of...