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Chapter 4 : Operations on Sets

Total questions: 14

Worksheet time: 28mins

Name
Class
Date
1.

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

Manakah antara pernyataan yang berikut adalah benar bagi gambar rajah Venn yang ditunjukkan?

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.


Diberi C={2, 5, 7, 10} dan B={2, 4, 6, 8}. Cari 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.


Diberi C={2, 5, 7, 10} dan B={1, 3, 5, 7, 9}. Hitung 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?


Daripada gambar rajah Venn yang di atas, apakah 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?


Jika A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} dan C = {3, 5, 6, 7, 8, 9}, apakah (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.

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


Jika P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} dan R = {6, 12, 18}, maka apakah set (P ∩ Q) ∪ R?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{4, 6, 12, 18}

9.

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}

10.

Determine n(W ⋃ C)'.


Tentukan n(W ⋃ C)'.

a)

6

b)

15

c)

21

d)

44

11.

Which of the following operations on sets describe the given Venn diagram?

a)

A BA\ \cap\ B

b)

 A  BA\ \cap\ B' 

c)

A BA'\ \cup\ B'

d)

A BA\ \cup\ B

12.

Which of the following operations on sets describe the given Venn diagram?

a)

AA'

b)

BB'

c)

 A  BA\ '\cup\ B 

d)

 A  BA'\ \cap\ B 

13.

The diagram shows a Venn diagram with the universal set,  ξ=ABC.\xi=A\cup B\cup C.  
List all the elements of set  (AB) .\left(A\cap B\right)\ '.  

a)

{r, s}

b)

{q, r}

c)

{p, t}

d)

{p, q, t}

14.

Given
 ξ=ABC\xi=A\cup B\cup C 
  A = {1, 2, 3, 4}
  B = {4, 5}
  C = {3, 4, 5, 6, 7}  
Which of the following Venn diagram best describes the above information?

a)
b)
c)
d)