MAT 1500 Week 2 Quiz - MAT1500 Week 2 Intro to Venn Diagrams Practice Test

Venn Diagrams Intro to Venn Diagrams Q : A survey of college business students showed 21 read Fortune 13 read Fortune and Business Week 45 read Business Week 14 read Fortune and Wall Street Journal 24 read Wall Street Journal 15 read Business Week and Wall Street Journal 1 reads none of these 8 read all three of these Draw a Venn diagram to represent the results of the survey: 1. How many students were surveyed? 2. How many of the Business Week readers do not read Fortune? 3. How many students read at least one magazine besides Business Week? 4. How many students read exactly one of the magazines? The above problem is a typical application problem that involves sets. In order to be able to answer the questions in the problem, we will learn a useful technique that allows us to picture the relationships between the sets. We will use Venn diagrams. Venn Diagrams and Subsets In a Venn diagram, we use a rectangle to represent a box containing all elements of a universal set, U. We can then draw smaller sets and their relationships using circles within the rectangle box. The smaller sets inside the rectangle are subsets of the universal set, U. We will first look into Venn diagrams with two sets A and B and how they can be represented. There are four different ways we can represent a Venn diagram with two sets.