This document contains 6 questions about sets and Venn diagrams. Question 1 defines several sets and asks to identify the elements of each set based on a Venn diagram. Question 2 provides a Venn diagram and asks for the number of elements in each set. Questions 3-4 show Venn diagrams with variables and ask to determine the values based on given information. Questions 5-6 define several sets and ask to determine the elements and intersections of the sets.

1. SETS
Answer all questions.
1. ξ
•1 •16 •18 C •9
•6
B •14
•20
•10
A •13
•7 •2 •17
•8 D
•5 •19
•11 •15
•12
•4 •3
Find
ξ={ ? }
A={ ? } A’={ ? }
B={ ? } B’={ ? }
C={ ? } C’={ ? }
D={ ? } D’={ ? }
2.
ξ A
B 8
6
The number of elements in sets C
4
A, B, C and D are shown in the
Venn diagram.
13
D 7
5
11
n(A)= n(A’)=
n(B)= n(B’)=
n(C)= n(C’)=
n(D)= n(D’)=
©Amir Fahmi Jaafar Page 1

2. 3. ξ
8
A
B
3x + 7 4x + 9
Given n( ξ ) = 45
x=
n(A) =
n(B) =
n(A’) =
n(B’) =
4.
ξ
A
B
x+3 7x + 9
4
Given n( ξ ) = 32
x=
n(A) =
n(B) =
n(A’) =
n(B’) =
©Amir Fahmi Jaafar Page 2

3. 5. ξ={20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30}
A={Odd numbers}
B={Even numbers}
C={Multiples of 3}
D={Multiples of 4}
Find
A={ ? } A ⋂ C ={ ? } (A ⋂ C)’ ={ ? }
B={ ? } B ⋂ D ={ ? } (B ⋂ D)’ ={ ? }
C={ ? } A ⋃ D ={ ? } (A ⋃ D)’ ={ ? }
D={ ? } B ⋃ C ={ ? } (B ⋃ C)’ ={ ? }
A ⋂ C ⋃ B ={ ? } A ⋃ D ⋂ B ={ ? }
B ⋂ D ⋃ A ={ ? } A ⋃ D ⋂ C ={ ? }
C ⋂ D ⋃ A ={ ? } B ⋃ C ⋂ D ={ ? }
C ⋃ D ⋂ A ={ ? }
6. ξ={10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
A={Odd numbers}
B={Even numbers}
C={Multiples of 3}
D={Multiples of 4}
Find
A={ ? } A ⋂ C ={ ? } (A ⋂ C)’ ={ ? }
B={ ? } B ⋂ D ={ ? } (B ⋂ D)’ ={ ? }
C={ ? } A ⋃ D ={ ? } (A ⋃ D)’ ={ ? }
D={ ? } B ⋃ C ={ ? } (B ⋃ C)’ ={ ? }
A ⋂ C ⋃ B ={ ? } A ⋃ D ⋂ B ={ ? }
B ⋂ D ⋃ A ={ ? } A ⋃ D ⋂ C ={ ? }
C ⋂ D ⋃ A ={ ? } B ⋃ C ⋂ D ={ ? }
C ⋃ D ⋂ A ={ ? }
©Amir Fahmi Jaafar Page 3