Using Roster Form and Set Builder Notation
3
Chapter3 L5 W orking W ith Sets N am e_____________________________Folder____ Using Roster Form and Set Builder Notation RosterForm : Set-BuilderN otation: 1. H ow do you w rite" in rosterform ? In set-buildernotation? T is the set of natural numbers that are less than 6" 2. " H ow do you w rite in rosterform ? In setbuildernotation? N is the set of even natural numbers that are less than or equal to 12" N 3. " 5 H ow do you w rite in rosterform ? In setbuildernotation? M is the set of integers that are greater than " M 4. " H ow do you w rite in rosterform ? In setbuildernotation? P is the set of natural numbers that are factors of 25" P 5. " H ow do you w rite in rosterform ? In setbuildernotation? R is the set of odd natural numbers that are less than 12" R W rite each setin set-buildernotation/ 6. { 3, 2,1,0,1,...} 7. {2,4,6,8,10} B S 1
-
Upload
ava-gillespie -
Category
Documents
-
view
35 -
download
1
description
Using Roster Form and Set Builder Notation. 1. Subsets and Null Set. 2. Universal Set and Complement of a Set. 3. - PowerPoint PPT Presentation
Transcript of Using Roster Form and Set Builder Notation
Chapter 3 L5 Working With Sets Name _____________________________Folder____
Using Roster Form and Set Builder Notation
Roster Form:
Set-Builder Notation:
1. How do you write " in roster form? In set-builder notation?
T is the set of natural numbers that are less than 6"
2. "How do you write in roster form? In set builder notation?
N is the set of even natural numbers that are less than or equal to 12" N
3. " 5How do you write in roster form? In set builder notation?M is the set of integers that are greater than "
M
4. "How do you write in roster form? In set builder notation?P is the set of natural numbers that are factors of 25"
P
5. "How do you write in roster form? In set builder notation?R is the set of odd natural numbers that are less than 12"
R
Write each set in set-builder notation/
6. { 3, 2, 1,0,1,...} 7. {2,4,6,8,10}B S
1
Write the solutions of each inequality in set-builder notation.
8. 2 5 21 9. 3 3 63 10. 12 8 60
11. (3 5) 13
y r m
x
12. 2( 7) 10 6
13. (2 4) 1 25 6 14. ( 1) 5 10 3
x x
x x x x
Subsets and Null Set
Subset:
Null Set:
2
15. What are the subsets of the set 3,4,5
16. What are the subsets of the set ,
17. Let 3 and 0 . Is a subset ?
18. What are the subsets of the set 0
P a b
A x x B x x A B
3
Univeral Set:
Complement of a Set:
Universal Set and Complement of a Set
19. Suppose 0,2,4,6,8,10 is the universal set and 2,4,6 . What is '?
20. Suppose ..., 5, 3, 1,1,3,5,... is the universal set and 1,3,5,... . What is '?
21. Suppose is a multiple
U A A
U R R
U x x
of 3, 18 is the universal set and 21,24, 27,30 . What is '?
22. Suppose is a real number, 3 is the universal set and
is a real number, 10 . What is '?
Suppose
x CC
U x x x
T x x x T
U
1,2,4,7,11,15 , 2,4,7 , 1, 2, 4 . Tell whether each statement is true or false. Explain your reasoning. 23. 24. 25. 26.
A and B
A U A B B A
27. Universal set planets in Earth's solar system and set planets farther from the sun than Earth is from the sun}. What is the complement of set '? Write your answer in roster
B
U PP
form.
