Name: Ma. Theresa Magtabog Program & Year: BEEd 1 Assignment Lesson 4: SETS, RELATIONS, AND FUNCTIONS Do the following tasks. 1. Give 3 examples of well-defined sets. Answer: A= {set of objects that can be worn} = {T-shirt, Shorts, Underwear, Skirt} B= {set of objects that are color blue} = {Mug, Blouse, Car, Comb} C= { set of moths in a year} = {January, February, March, April} 2. Name two subsets of the set of whole numbers using both the listing method and the rule method. Answer: 1. Listing method: { 1,2,3} Rule method: {x| x is a positive whole number less than four} 2. Listing method: { 2,4,6,8,....}. Rule method: {x| x is a positive even number} 3. Let B = [1, 3, 5, 7, 9}. List all the possible subsets of B. Answer: {1}, {3}, {5}, {7}, {9}, {} {1,3}, {1,5}, {1,7}, {1,9}, {3,5}, {3,7}, {3,9}, {5,7}, {5,9}, {7,9} {1,3,5}, {1,3,7}, {1,3,9}, {1,5,7}, {1,5,9}, {1,7,9}, {3,5,7}, {3,5,9}, {3,7,9}, {5,7,9} {1,3,5,7}, {1,3,5,9}, {1,3,7,9}, {1,5,7,9}, {3,5,7,9} {1,3,5,7}, {1,3,5,9}, {1,3,7,9}, {1,5,7,9}, {3,5,7,9} 4. Answer this question: How many subsets does a set of n elements have? Answer: A set with n elements has 2 n subsets. Found a connection between the numbers of subsets of each size with the numbers in Pascal's triangle.