Class Name

3-5

# Working With Sets

Write each set in roster form and in set-builder 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

# Form G

Write each set in set-builder 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 set-builder 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

43

Name

3-5

(contined)

# Working With Sets

List all the subsets of each set.

18.

{a, b, c, d}

19.

{0, 3, 6, 9}

Class Date

# Form G

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

U =

{all the months in a calendar year}

B =

{all months that have 31 days}

Prentice Hall Gold Algebra 1 •

Teaching Resources