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.