1. ALGEBRA II H/G - SETS : UNION and INTERSECTION
ALGEBRA II HONORS/GIFTED @
SETS : UNION and INTERSECTION

2. SET : a collection of objects. A = {1, 2, 3, 4, 5}. U
SET : a collection of objects.
A = {1, 2, 3, 4, 5}.
B = {4, 5, 6, 7, 8} A 9
2 3
4 5
ELEMENT or OBJECT : a member of a set. 10 B
VENN DIAGRAM : a picture
of a set or a group of sets.
Created by a guy named Venn….
but I don’t know venn he did it.

3. UNIVERSAL SET : the set of all elements under consideration.9
2 3
4 5 10 B
UNION : a listing, in set notation, of every element of two or more sets.
INTERSECTION : a listing, in set notation, of the elements two or more sets share.

4. EMPTY SET : a set that contains no elements, denoted by the symbol Ø.
Examples :
FINITE SET : a set that contains a definite number of elements. (You can count them!)
Examples :
INFINITE SET : a set that contains an indefinite number of members. (You can’t count them.)
Examples :

5. OVERLAPPING SETS : two or more sets that share at least one element.
Examples : A U B
Sets A and B overlap.
Other examples?

6. SUBSET : if all of the elements in set A are also in set B.
Examples : B U
A since set A
is inside of set B.
Other examples?

7. RULE METHOD : a way to write the elements of a set by definition.
ROSTER METHOD : a way to write the elements of a set by listing all of the elements.
Examples :
RULE METHOD : a way to write the elements of a set by definition.
Examples :
DISJOINT : two sets are disjoint if they have no elements in common.
Examples : U
A B

8. Draw Venn Diagrams for each of the following sets.
U = {letters of the English alphabet}
A = {different letters in the word ‘baseball’}
B = {different letters in the word ‘basket’}
2) U = {states of the United States}
N = {states beginning with the letter ‘N’}
H = {states containing the letter ‘h’}

9. Find the union ( ) and intersection ( ) of each pair of sets.
3) U = {whole numbers from 1-20 inclusive}
P = {prime numbers less than 20}
D = {odd whole numbers less than 20}
4) U = {letters of the English alphabet}
F = {different letters in the word ‘foot’}
B = {different letters in the word ‘base’}
Note : sets F and B are disjoint!

10. 5) U = {letters of the English alphabet}
B = {different letters in the word ‘base’}
F = {different letters in the word ‘bass’}
How does set F compare with set B?
Answer : Set F is a subset of set B.