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Chapter 11 (Sets)

Total questions: 20

Worksheet time: 12mins

Name
Class
Date
1.

If A = {1,2,3}, B = {3,4,5}, C = {5,6,7}, find A U B U C.

a)

{1,2,3,4,5,6,7}

b)

{1,2,3,4,5,6,7,8}

c)

{1,2,3,3,4,5,5,6,7}

d)

{3,4,5}

2.

If U = {2,3,5,7,11,13} and C = {2,3,5}, find C'

a)

{7,11,13}

b)

{7,9,11,13}

c)

{2,3,5}

d)

U

3.
Set  Q  contains the letters in the word  SISTER .
 Which of the following is set  Q ?
a)
Q = { S, T, R }
b)
Q = { I, E }
c)
Q = { S, I, S, T, E, R }
d)
Q = { S, I, T, E, R }
4.

Which of the following means proper subset?

a)

 \subset  

b)

 \subseteq  

c)

 \in  

d)

=

5.

List the elements of A

a)

{2,3}

b)

{2,3,5,9}

c)

{1,2,3,4,5}

d)

{5,9}

6.

List the elements of B

a)

{4,5,6,7,8,9,10,11}

b)

{4,6,7,8}

c)

{9,5,10,11}

d)

{4,5,6,7,8,9,10}

7.

List the elements of A Ո B

a)

{5,9}

b)

{2,3,7,6,8}

c)

{2,3,5,9,7,6,8}

d)

{1,4}

8.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A' = B

9.

Use the Venn diagram to identify the statement that is true.

a)

2 ∈ P ∩ Q

b)

5 ∈ Q

c)

{5,7} ⊆ P

d)

P U Q = Q

10.

List the elements of (A U B)'

a)

{1,4}

b)

{2,3,5,6,7,8,9}

c)

{2,3,6,7,8}

d)

{5,9}

11.

List the elements of A ∩ B'

a)

{2,3}

b)

{5,9}

c)

{2,3,6,7,8}

d)

{1,2,3,4,5,6,7,8}

12.

Which of the following is the symbol for element of?

a)

b)

 \subset  

c)

 \in  

d)

 ⊄\not\subset  

13.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

\forall

d)

A'

14.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
15.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Subset

16.

What is intersection of A and B?

a)

A ∪ B

b)

c)

∉

d)

A ∩ B

17.

What is Union of A and B?

a)

A ∩ B

b)

A′

c)

A ∪ B

d)

A ⊂ B

18.
Find n(A) when
A = {14, 16, 18, 20, 22,
24}
a)
6
b)
12
c)
4
d)
8
19.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}


Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

20.

Which of the following is not an element of A = {b, g, 5, 8, 12}}

a)

c

b)

12

c)

g

d)

8