5.1 Sets

1. 5.1 Sets • A set is called: • The objects are called _____________ of the set. • Let X be the first six numbers greater than 10. • Let W be the first five prime numbers. • Let Z be the first five odd numbers greater than 200.

2. 5.1 Sets • Let C be the possible outcomes of tossing a coin twice. • Let T be the possible outcomes of tossing a coin three times.

3. 5.1 Sets • The union of A and B, written A U B, is defined as the set of all elements that belong to either A or B (or both). • The intersection of A and B, written A B, is defined as the set of all elements that belong to both A and B. • If A = {1, 2, 3, 4, 5} and B = {2, 4, 6, 8} • Find A U B. • Find A B. • If C = {5, 7, 9} and D = {6, 8, 10} • Find C U D. • Find C D.

4. 5.1 Sets • Venn Diagrams • The set A B is a subset of both A and B, written andprovided every element of is an element of A and of B. • Why ?

5. 5.1 Sets • Let R = {1 3, 5, 7} S = {1, 5, 7} T = {3, 5, 7, 9} V = {1, 3, ,5, 7, 9} W = {3} • Which are subsets of each other? • One set that is a potential subset of every set is the empty set, . • This set has no elements! • M = {10, 12, 13} • List all the subsets of M

6. 5.1 Sets • U is often referred to as the ________________. • It is considered to cover “everything.” • Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} • Let A be the even subset of U. • A = • The complement of something means “everything but…”. • The complement of A is written A’. • A’ = • Venn Diagram

7. 5.1 Sets • Let U = {a, b, c, d, e, f, g} R = {a, b, c, d} S = {c, d, e} T = {c, e, g} • Find:

8. 5.1 Sets • Problems to complete • Pg. 210 #1 – 5 odd, 13