Class Name
35
Write each set in roster form and in setbuilder notation.
1.
M
is the set of integers that are greater than
5.
2.
N
is the set of even numbers that are less than 2.5.
3.
P
is the set of natural numbers that are factors of 25.
4.
R
is the set of odd natural numbers that are less than 12.
Date
Write each set in setbuilder notation.
5.
B
=
{
3,
2,
1, 0, 1,
…}
7.
S =
{
1, 2, 3, 6, 9, 18}
6.
M =
{
2, 4, 6, 8, 10}
8.
G
=
{
… ,
5,
3,
1, 1, 3, 5,
…}
Write the solutions of each inequality in setbuilder notation.
9.
2
y +
5
<
21
10.
3
r +
3 > 63
11.
12
8
m
≥
60
12.
(3
x
+
5)
≤
13
14.
2(
x
+
7)
≤
14
+
2
x
13.
2(
x
7)
>
10
6
x
15.
3(2
x
+
4)
+
1
>
13
16.
3(2
x
4)
1
<
25
+
6
x
17.
(
x
1)
+
5
≥
10
3
x
Prentice Hall Gold Algebra 1 •
Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
43
Name
35
(contined)
List all the subsets of each set.
18.
{a, b, c, d}
19.
{0, 3, 6, 9}
Class Date
20.
{car, bus, truck}
21.
{
5, 5}
22.
{0}
23.
{red, blue, yellow}
24.
Suppose
U =
{0, 2, 4, 6, 8, 10} is the universal set and
A =
{2, 4, 6}. What is
A'
?
25.
Suppose
U =
{… ,
5,
3,
1, 3, 5, … } is the universal set and
R =
{1, 3, 5, …}. What is
R'
?
26.
Suppose
U =
{
x

x
is a multiple of 3,
x
≥
18} is the universal set and
C =
{21, 24, 27, 30}. What is
C'
?
27.
Suppose
U =
{
x

x
is a real number,
x
<
3} is the universal set and
T =
{
x

x
is a real number,
x
<
10. What is
T'
?
Suppose U =
{
1, 2, 4, 7, 11, 15}, A =
{
2, 4, 7}, and B =
{
1, 2, 4}. Tell whether each statement is true or false. Explain your reasoning.
28.
A
U
29.
U
B
30.
B
A
31.
B
32.
Let the universal set
U
and set
B
be as defined below.
What are the elements of the complement of
B
? Write your answer in roster form and in setbuilder notation.
U =
{all the months in a calendar year}
B =
{all months that have 31 days}
Prentice Hall Gold Algebra 1 •
Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
44