MATH 1000 Sets of Products Unit 2 Project /50 Name Chapter 2 Project . Understand the Problem . Develop a Plan Sets of Products . Carry Out the Plan . Look Back All of the products that company sells is called a product list. Imagine that you are opening a business that sells a selection of products. These products can be whatever you choose but you must at least list 25 products that your company will sell. As with any company people must be able to search for specific items by choosing categories. Letting your company's product list be the universal set for this project. Then from the universal set create no less than 5 subsets (or categories). Out of your subsets of products you should be able to have at least one of each of the relationships from the Venn diagram examples below. TO COMPLETE THIS PROJECT SUCCESSFULLY COMPLETE EACH STEP BELOW. Curbcumths Venn Diagrams Complement of A AUB AnB Complement of B A union & A intersect B Step 1: Create a Product List Though I have included a table in this document you may use other varieties of technology to complete this project. That being said in order to create sets you may need to adjust the column and the quantifiers to your own needs. It is an excel sheet so if you double click you Product Name Product Weight(LBS) Product Price etc...MATH 1000 Sets of Products Unit 2 Project Step 2: Create 5 different categories that will grab a selection of your universal set. As you create these categories remember to make sure that you have satisfied all of the options for possible selections in a Venn diagram. Display each of your lists both in set builder notation, and roster notation below. Finally find the cardinality of each of you sets. Step 3: Create a full Venn diagram for you Project. There are a multitude of ways in which this can be accomplished successfully. (Note you may need to make more room below or attach a separate file) Step 4: Using your collection of sets preform the following operations: Find the complement of your set ie. A', Find a group of set operations such as A U (B n C) such that you can explain why such a set operation equation would exist, find two of your sets that when intersected provide the empty set.MATH 1000 Sets of Products Unit 2 Project Step 5 Answer the following question to reflect on the project. Visit Amazon.com, and look up an item. Look to the left of the screen a notice the choices for filters. Based on this experience and the project what does this mean? What is your reaction? What causes two sets to give back the empty set when they have been intersected? Can you make a website such as amazon give this back? (Amazon is a challenge, home depot, KSL, craigslist or kohl's might be easier to find such an intersection.)