The document provides a Venn diagram with sets A, B, and C and asks the reader to: 1) Shade regions representing (A'U B), (A B)' U C, and A U (C'U B) and describe each region 2) Populate the Venn diagram with information about students who like various subjects 3) Answer questions about the number of students who like certain subject combinations based on the information provided.

2. Use a Venn diagram to shade the regions
representing the set !!
a. (A’U B)
C
JAWABAN
b. (A
B)’ U C
JAWABAN
c. A U (C’U B)
JAWABAN

3. Write a description of each shaded region using A,B,C,
necessary
a.
b.
B
Z
B
Z
C
A
A
c.
, U, and ‘ as
C
B
JAWABAN a
Z
JAWABAN b
A
C
JAWABAN c

4. A group of 64 students were surveyed, and it was found that each of
the students surveyed liked at least one of the following three
subjects: Mathematics, chemistry, and Biology. 36 liked
Mathematics. 32 liked chemistry. 35 liked Biology.
13 liked Mathematics dan chemistry. 17 liked chemistry and Biology.
19 liked Mathematics and Biology.
21 liked exactly two of the following subjects :
Mathematics, chemistry, and Biology
a) Enter the above information on the Venn diagram.
b) How many students liked all of the following three subjects :
Mathematics, chemistry, and Biology?
c) How many students liked Mathematics only?
d) How many students liked Biology only?
e) How many students liked Mathematics and Biology, but not
chemistry
JAWABAN

7. a. (A’U B)
C
A
Z
Z
B
C
BACK

8. b. (A
B)’ U C
A
B
C
BACK

9. c. A U (C’U B)
A
Z
B
C
BACK

11. a.
B
Z
C
= (A C) U (B C)
A
B
=A
Z
C
A
C
=B
C
= (A C) U (B C)
BACK

12. b.
B
Z
= (A U B’) C’
A
C
B
= A U B’
Z
= (A U B’) C’
A
C
BACK

13. c.
B
Z
A
= (B’ C) A
C
B
= (B’ C)
Z
= (B’ C) A
A
C
BACK

15. a).
S
Dik: S= 64
M=36
C=32
B=35
M
T
X
S
P
Z
Y
U
C
b). S + T + U + X + Y + Z + P = 64
19 + 17 + 18 + P = 64
54 + P = 64
P = 10
e). X + T = 17
X + 14 = 17
X=3
B
P + X =13
P + Z =17
P + Y =19
X + Y + Z = 21
M : X + P + Y + T = 36
X + T = 17
B : Y + P + Z + U = 35
Y + U = 18
C : X + P + Z + S = 32
X + S = 19
c). P + X = 13
X=3
X + T = 17
3 + T = 17
T = 14
d). P + Y = 19
10 + Y = 19
Y=9
Y + U = 18
U = 19
BACK