venn Diagram


The regions in the Venn diagram below are given numbers.

Don't use plagiarized sources. Get Your Custom Essay on
venn Diagram
Get an essay WRITTEN FOR YOU, Plagiarism free, and by an EXPERT!
Order Essay

U = I, II, III, IV

A = I, II


A ∩ B = II

A ⋃ B = I, II, III


= I, IV

Example ∩

= Regions III and IV

= Regions I and IV

∩ = Region IV

To illustrate ∩ with a Venn diagram shade region IV.


A survey of 100 people revealed that 60 subscribe to People magazine, 30 subscribe to Time magazine, and 20 subscribe to both magazines.

The Venn diagram below illustrates the results of the survey. The sets are labeled P for People and T for TIME.

Always start by entering the number of elements in the intersection of the sets. Twenty people subscribe to People and Time. Enter 20 in region II.

Since People has a total of 60 subscriptions, the number of elements in region I plus the number of elements in region II would equal 60. Subtract 20 from 60. This leaves 40 for region I.

Since Time has a total of 30 subscriptions, the number of elements in region II plus the number of elements in region III would equal 30. Subtract 20 from 30. This leaves 10 for region III.

To find the total number of elements in regions I, II, & III, add 40 + 20 + 10. This would equal 70. Since 100 people were surveyed, this leaves 30 for region IV.

The Venn diagram on this page can be used to answer the following questions.

1. How many are taking People or Time?

People or Time would include regions I, II, & III.

n(P ⋃ T) = 40 + 20 + 10. The total of these regions would be 70.

2. How many are taking People only?

People only would be region I.

This would be 40 subscribers.

n(P ∩ ) = 40

3. How many are taking Time only?

Time only would be region III.

This would be 10 subscribers.

n(T ∩ ) = 10

4. How many are not taking Time?

Regions not in circle T are I & IV.

Add 40 + 30. This would be 70 subscribers.

n( ) = 70

5. How many are taking neither People nor Time?

The region not in People and not in Time is region IV.

This would be 30 subscribers. n( ∩ ) = 30

Graduate Homework
Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Papers are written from scratch We have molded our writers to develop content for all assignments from scratch. This way, we promote originality and reduce cases of plagiarism that might affect your grades and hinder you from realizing your academic goals. We encourage our clients to indicate the deliverables that should be featured in the final paper. Our online help services allow one to make a clarification and even interact with the writer directly to help them understand the needs of the assignment. Many of our writers are professional tutors who understand the approaches that should be used to fulfill the specified instructions. Every time a client places an order on our system, we link them with the most qualified writer in the subject of interest.

Money-back guarantee

YUnlike other writing companies, we encourage clients to draw back their money at any stage of the writing process if they experience any uncertainties with the quality of generated content. However, you will hardly have to make this decision because of our business approach that suits your needs.

Zero-plagiarism guarantee

We have an advanced plagiarism-detection system that flags any work that fails to meet the required academic expectations. Our company thrives in honesty, and as such, you will be guaranteed to achieve a paper that meets your expectations.

Free-revision policy

We encourage our clients to return papers for revision seven days after the last submission for free. Depending on the proposed changes, we will work on your article to achieve the desired expectations.

Privacy policy

We uphold confidentiality and privacy through our interactions with clients, an aspect that has enhanced our relationship with prospective customers seeking for assignment help. We do not disclose your information with third-parties

Qualified Writers

We boast of a diverse pool of ENL and ESL professionals who respond with a personal touch to the needs of every client. Our focus is to become the best platform that offers specialized services to individuals to accomplish their academic goals.

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
× Contact Live Agents