41 b When you create a shopping list of items to purchase, you are placing items in a set. 2 Sections 2. 1 Set Concepts 2. 2 Subsets 2. 3 Venn Diagrams, Set Operations, and Data Representation 2. 4 Venn Diagrams with Three Sets and Verification of Equality of Sets 2. 5 Set Applications and Survey Data Analysis 2. 6 Infinite Sets A basic human impulse is to sort or classify things. As you will see in this chapter, putting elements into sets helps you order and arrange your world. It allows you to deal with large quantities of information. Computer programs such as Python and technological tools such as Excel and StatCrunch that allow us to analyze large sets of data rely on set concepts. Set building is a learning tool that helps answer the question “What are the characteristics of this group?” For example, when you are creating a shopping list of items to purchase for a meal, you are placing items in a particular set. You may want to create a set of items needed from the produce section, a set of items needed from the meat department, and a set of items needed from the snack aisle. Organizing items into sets helps ensure that you buy all the needed items. Studying sets is also important because sets underlie other mathematical topics such as logic, probability, statistics, and abstract algebra. Why This Is Important Sets Mangostock/Shutterstock
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