1
The Venn diagram in the answer space shows setsL, M andN. Given that universal set, ξ = L ∪ M ∪ N. On the diagram provided in the answer space, shade the Gambar rajah Venn di ruangjawapanmenunjukkan set L, M dan N. Diberibahawa set semesta, ξ = L ∪ M ∪ N. Pada rajah di ruangjawapan, lorekkan (a)
( L ∪ N )′
(b)
( L∪ M )
∩ N.
[3 marks / 3markah]
Answer / Jawapan : (a) M L
N
(b) M L
N
2 The Venndiagram in the answer space shows set A, set B and set C such that the universal set ξ = A∪ B ∪C . Gambar rajah Venn di ruangjawapanmenunjukkan set A, set B dan set C dengan keadaansetsemesta ξ = A ∪ B ∪ C . On the diagram provided in the answer space, shade Pada rajah di ruangjawapan ,lorekkan (a)
set ( A ∪ B ) ' ,
(b)
set ( A ∩ B ) ∪ ( B ∩ C ).
[ 3 marks/ 3markah ]
Answer/ Jawapan : (a)
A
B
C
(b)
A
3
B
C
ξ = P ∪ Q ∪ R. On the diagram in the answer spaces, shade the set of
Gambar rajah venn di ruangjawapanmenunjukkan set P, set Q dan set R dengankeadaan Set semesta ξ = P ∪ Q ∪ R. Pada rajah di ruangjawapan, lorekkan set (a)
P∪R,
(b)
( P '∩ R ) ∪ Q . [3 marks / 3 markah]
Answer/ Jawapan: (a)
P
Q
R (b)
P
Q
R
4. Shade the region in the given Venn diagram that represents each of the following
operations on sets. LorekkankawasandidalamRrajah Venn yang mewakilioperasi set berikut. i) ii)
(P∩R)UQ K’ U ( L ∩ M )
[ 4 Marks ] [4 Markah]
Answer: Jawapan:
i)
P R
ii) K
Q L
M
5. The Venn diagram in the answer space shows sets B, C and D. Given B = {a, c, e, f, g,
h}, C = {e, f, g, i, j}, D = {e, f, j, k, l} and the universal set ξ = B U C U D. i) ii) iii)
Complete the Venn diagram below by filling in the elements of sets B, C and D. List all the elements of set ( D U C ) Find n( B ∩ C )’ [4 Marks]
Gambar rajah Venn di ruangjawapanmenunjukkan set B, C dan D. Diberi B= {a, c, e, f, g, h}, C = {e, f, g, i, j}, D = {e, f, j, k, l} dan set semesta, ξ = B U C U D. i)
Lengkapkangambar rajah Venn tersebutdenganmengisikanunsur-unsurdalam set B, C dan D. Senaraikansemuaunsurbagi set ( D U C ) Cari n( B ∩ C )’ [4 Markah]
ii) iii) Answer: Jawapan: i)
C
B
D
ii) ………………………………………….. iii) ………………………………………….
6. (a)
The Venn diagram shows the universal set E, set A and set B. It is given that E = {x: 1≤ x ≤ 11, x is an integer}, A = { x: x is a prime number }and B = { x: x is an even number}. Gambarajah Venn menunjukkan Set Semesta E, set A dan set B. Diberibahawa E = {x: 1≤ x ≤ 11, x ialah integer}, A = { x: x ialahnomborperdana } dan B = { x: x ialahnomborgenap}. (i)
Complete the Venn diagram by writing the missing elements. Lengkapkangambarajah Venn denganmenulisunsur-unsur yang tiada. E
.5 .7 . 11
(ii)
List the elements of set A’ ∩ B. Senaraikan unsur-unsur bagi A’ ∩ B.
(iii)
Find n(A U B)’. Cari n(A U B)’.
(6 marks) [6 markah]
Answer / Jawapan: E (i)
.5 .7 . 11
(ii)
(iii)
7
The Venn diagram in the answer space shows setsL, MandN. Given that universal set, ξ = L ∪ M ∪ N. On the diagram provided in the answer space, shade the Gambar rajah Venn di ruangjawapanmenunjukkan set L, M dan N. Diberibahawa set semesta, ξ = L ∪ M ∪ N. Pada rajah di ruangjawapan, lorekkan (a)
L ∩ N′
(b)
( L∩ M )
∪ N.
[3 marks / 3markah]
Answer / Jawapan : (a) M L
N
(b) M L
N
8 The Venndiagram in the answer space shows set A, set B and set C such that the universal set ξ = A∪ B ∪C . Gambar rajah Venn di ruangjawapanmenunjukkan set A, set B dan set C dengan keadaansetsemesta ξ = A ∪ B ∪ C . On the diagram provided in the answer space, shade Pada rajah di ruangjawapan ,lorekkan (a)
set (A ∩ B)′
(b)
set(A ∪ B) ∩ (B ∩ C)
[ 3 marks/ 3markah ]
Answer/ Jawapan : (a)
A
B
C
(b)
A
B
C
9.
ξ = P ∪ Q ∪ R. On the diagram in the answer spaces, shade the set of Gambar rajah venn di ruangjawapanmenunjukkan set P, set Q dan set R dengankeadaan Set semesta ξ = P ∪ Q ∪ R. Pada rajah di ruangjawapan, lorekkan set (a) P ∩ R (b) (P ∩ R′) ∪ Q [3 marks / 3 markah] Answer/ Jawapan: (a)
P
Q
R (b)
P
Q
R
10. Shade the region in the given Venn diagram that represents each of the following operations on sets. LorekkankawasandidalamRrajah Venn yang mewakilioperasi set berikut. i) ii)
(P∩Q )UR K’ ∩ ( L ∩ M )
[ 4 Marks ] [4 Markah]
Answer: Jawapan:
i)
P R
ii) K
Q L
M
11. The Venn diagram in the answer space shows sets B, C and D. Given B = {a, c, e, f, g, h}, C = {e, f, g, i, j}, D = {e, f, j, k, l} and the universal set ξ = B U C U D. iv) v) vi)
Complete the Venn diagram below by filling in the elements of sets B, C and D. List all the elements of set ( D U C ) Find n( B ∩ C )’ [4 Marks]
Gambar rajah Venn di ruangjawapanmenunjukkan set B, C dan D. Diberi B= {a, c, e, f, g, h}, C = {e, f, g, i, j}, D = {e, f, j, k, l} dan set semesta, ξ = B U C U D. iv)
Lengkapkangambar rajah Venn tersebutdenganmengisikanunsur-unsurdalam set B, C dan D. Senaraikansemuaunsurbagi set ( D U C ) Cari n( B ∩ C )’ [4 Markah]
v) vi) Answer: Jawapan: i)
C
B
D
ii) ………………………………………….. iii) ………………………………………….
12
The Venn diagram in the answer space shows setsA, BandC. Given that universal set, ξ = A ∪ B ∪ C. On the diagram provided in the answer space, shade the Gambar rajah Venn di ruangjawapanmenunjukkan set A, B dan CDiberibahawa set semesta, ξ =A ∪ B ∪ C. Pada rajah di ruangjawapan, lorekkan (a)
A′ ∩ C
(b)
( A ∪ B) ∩ C′.
[3 marks / 3markah]
Answer / Jawapan : (a) B A
C
(b) B A
C
13
The Venn diagram in the answer space shows setsA, B,C,and D.Given that universal set, ξ = A ∪ B ∪ C ∪ D. On the diagram provided in the answer space, shade the Gambar rajah Venn di ruangjawapanmenunjukkan set A, B, CdanD.Diberibahawa set semesta, ξ =A ∪ B ∪ C ∪ D. Pada rajah di ruangjawapan, lorekkan (a)
B∩ C∩ D
(b)
A ∪ (B ∩ C ∪ D)
[3 marks / 3markah]
Answer / Jawapan : (a) B A
C
D (b) B A
C
D
14. The Venndiagram in the answer space shows set A, set B and set C such that the universal set ξ = A∪ B ∪C . Gambar rajah Venn di ruangjawapanmenunjukkan set A, set B dan set C dengan keadaansetsemesta ξ = A ∪ B ∪ C . On the diagram provided in the answer space, shade Pada rajah di ruangjawapan ,lorekkan (a)
set A′ ∩ (B ∩ C)
(b)
set(A ∪ B) ∪ (B′ ∩ C)
[ 3 marks/ 3markah ]
Answer/ Jawapan : (a)
A
B
C
(b)
A
B
C
15. Shade the region in the given Venn diagram that represents each of the following operations on sets. LorekkankawasandidalamRrajah Venn yang mewakilioperasi set berikut. ( P ∩ R′ ) U Q K U(L∩M)
i) ii)
[ 4 Marks ] [4 Markah]
Answer: Jawapan:
i)
P R
ii) K
Q L
M
JAWAPAN 1. (a)
M L
N
M N
L (b)
Nota: Lorekan untuk ( L ∪ M ) dapat P1 2. A
B
C
B A
Nota : A
∩B
atau B ∩ C sahaja
C
P1
3. (a)
Q
P
R (b)
P
Q
R P
Q
Note:
give P1 R
4.
5.
B
.c
.a .g
.h
.e
.k D
.f
.j .l
.i
ii) e,f,g,i,j,k,l iii) 7
6. i)
ii)
R
K
Q L
M
7.
8.
9.
10.
11.
B
.c
.a .g
.h
.e
.k D
ii) e,f,g,i,j,k,l iii) 7
.f
.j .l
.i
12.
13.
14.
15.