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Worksheets

Complement of a Set and Set Difference

Total questions: 10

Worksheet time: 23mins

Name
Class
Date
1.

 (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}

2.

 (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}

3.
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}
4.

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 ?

Diberi 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} dan C = {2, 4, 6, 8}. Apakah set (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}

5.

Determine n(W ⋃ C)'.


Tentukan n(W ⋃ C)'.

a)

6

b)

15

c)

21

d)

44

6.

Determine n(W ⋂ C)'.


Tentukan n(W ⋂ C)'.

a)

6

b)

15

c)

54

d)

60

7.

If U = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20} and A = {12, 13, 14, 20}, what is the complement of A?

a)

{11, 15, 16, 17, 18, 19}

b)

{11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

c)

{12, 13, 14, 20}

d)

{15, 16, 17, 18, 19}

8.

Let the universal set U be all the letters of the English alphabet. What is the complement of the empty set?

a)

U

b)

Ø

c)

{a, b, c, d}

d)

Ø - U

9.

If U = {1, 2, 3, 4, 5, 6} and A = {2, 3, 6}, find A ∪ A'

a)

U

b)

A

c)

10.

If A = {4, 7, 10, 13, 16, 19, 22} B = {5, 9, 13, 17, 20},

find A - B.

a)

{4,7,19,20}

b)

{4,5,7,10,16,19,22}

c)

{4,7,10,16,19,22}

d)

{4,5,7,10,17,19,20}