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Set Operations and Venn Diagram

Total questions: 15

Worksheet time: 38mins

Name
Class
Date
1.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

2.

Let C={2, 5, 7, 10} and B={2, 4, 6, 8}. Find C U B.

a)

{2,4,6,8,10}

b)

{2,4,5,6,7,8,10}

c)

{2, 4, 5, 6, 7, 8, 10}

3.

Let C={2, 5, 7, 10} and B={1, 3, 5, 7, 9}. Find C ∩ B.

a)

{1,2,3,5,7,9,10}

b)

{2,4,5,6,7,8,10}

c)

{5,7}

4.

From the above Venn diagram, what is the set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

5.

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ C?

a)

{3, 4, 5, 6, 7, 9}

b)

{3, 4, 5, 6, 7, 8, 9}

c)

{3, 5, 6, 7, 9}

d)

{ }

6.

 (AB)\left(A\cap B\right)'  

a)

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

b)

{1,3,4,8}

c)

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

d)

{5,7}

7.

 (AB)\left(A\cup B\right)'  

a)

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

b)

{1,3,4,8}

c)

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

d)

{5,7}

8.
X ∩ Y ∩ Z
a)
{ }
b)
{Phillip}
c)
{Billy, Phillip, Bryan, Perez}
d)
{Billy, Perez, Bryan}
9.
Z ∪ Y
a)
{ }
b)
{Sarah, Gabino, Ja-Leah, Billy, Phillip, Bryan, Perez, Gabriel, William}
c)
{Brittney, Na'Quan, Bryan, Gabriel, William}
d)
{Gabriel, William, Bryan, Phillip, Perez}
10.

If P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} and R = {6, 12, 18}, then what is (P ∩ Q) ∪ R?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{4, 6, 12, 18}

11.

Given that ξ={1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}\xi=\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 12,\ 15\right\}  , A = {1, 3, 5, 15}, B = {2, 3, 5, 7} and C = {2, 4, 6, 8}.
What is (A U B)' ∩ C ?

a)

{4, 6, 8}

b)

{4, 6, 8, 9}

c)

{4, 6, 8, 9, 12}

d)

{4, 6, 8, 9, 12, 15}

12.

Determine n(W ⋃ C)'.

a)

6

b)

15

c)

21

d)

44

13.

Determine n(W ⋂ C)'.

a)

6

b)

15

c)

54

d)

60

14.

From Venn diagram, let blue represent the students taking drama (D) and green represent the students taking math (M).

What is n(D ⋃ M)?

a)

5

b)

7

c)

2

d)

4

15.

 From the Venn diagram given, determine  Q'\cap R .

a)

{1, 2, 3, 5 6}

b)

{3, 5, 6}

c)

{3, 4, 5, 6, 7}

d)

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