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MATHEMATICS

FORM 3

MODULE 10

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LINEAR INEQUALITIES

MINISTRY OF EDUCATION MALAYSIA

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MODULE 10: LINEAR INEQUALITIES Arahan:

1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam

bahasa Inggeris.

2. Modul merangkumi tujuh konstruk yang diuji

K1 - Memahami soalan dalam bahasa Inggeris K3 - Memahami istilah matematik dalam bahasa Inggeris K5 - Menguasai konstruk pengetahuan K6 - Menguasai konstruk kefahaman K7 - Menguasai konstruk kemahiran K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris

3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian.

4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan

pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif.

Contoh:

Antara berikut, yang manakah haiwan?

A. Pokok B. Kambing C. Kereta D. Pen

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan

yang disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 15 halaman bercetak

D A B C E

3

1 x > 5 means x must be greater than 5. A possible value for x is 8. What is a

possible value of y for y >13?

A 14

B 13

C 12

D 11

2 The number line below represents x ≤ -3. Which of the following represents x ≤ - 6?

A

B

C

D

-8 -7 -6 -5 -4 -2 -3 -1 0

-8 -7 -6 -5 -4 -2 -3 -1

-8 -7 -6 -5 -4 -2 -3 -1

-8 -7 -6 -5 -4 -2 -3 -1

-8 -7 -6 -5 -4 -2 -3 -1

4

3 ‘2m is shorter than 6m’ can be represented as 2m < 6m. ‘6kg is lighter than 10kg’ can be represented as

A 6kg > 10kg

B 10kg ≥ 6kg

C 10kg ≤ 6kg

D 6kg < 10kg

4 The value of y is greater than or equal to x can be written as y ≥ x. Which of the following represents ‘y is greater than or equal to x + 3’?

A y < x + 3

B y ≥ x + 3

C y ≤ x + 3

D y > x + 3

5 If x is an integer, the values of x that satisfy the inequality 3 ≤ x < 5 are 3 and 4.

Given that the values of y that satisfy an inequality are 1, 2 and 3, which of the following inequalities is true for y?

A 1 < y < 3

B 1 ≤ y < 3

C 1 ≤ y < 4

D 1 < y < 4

6 The relationship between two variables x and y is given by y ≤ 2x + 3. ‘y ≤ 2x + 3’ is known as

A a linear equation

B a linear inequality

C an algebraic expression

D a simultaneous equation

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7 Which of the following is an equivalent inequality for x > y ?

A x < y

B x = y

C y < x

D y ≤ x

8 The value of p is not more than 110. This means that

A p is less than or equal to 110

B p is greater than 110

C p is greater than or equal to 110

D p is equal to 110

9 If x is an integer, the possible values of x when “x is greater than or equal to 5” are

A 6, 7, 8, ...

B 5, 6, 7, ...

C 4, 3, 2, ...

D 5, 4, 3, ...

10 Which of the following is a linear inequality in one unknown?

A y < 2

B y 2 > 4

C y > 2x

D 10 < 15

11 Complete the following inequality with the correct symbol.

A < B > C ≤ D ≥

10 cm 100 cm

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12 The diagram shows a road tunnel. The maximum height, h, of a vehicle that can use this tunnel is 4m.

Which of the following represents this situation?

A h > 4m B h ≥ 4m C h < 4m D h ≤ 4m

13 Which of the following is true?

A 3 x 2 > 3 2

B 5 > 4

C 1.5 kg < 1200 g

D 100 km < 100 m

4m

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14

The signboard in the diagram shows the speed limit along Jalan Raja. The speed, v, of a motorist which is allowed along that road is

A v < 60km/h

B v > 60km/h

C v ≤ 60km/h

D v ≥60km/h

15 Which of the following is true?

Inequality Possible value of x

A x > 3 3, 4, 5, …

B x < 3 3, 2, 1, …

C x > 3 4, 5, 6 , …

D x < 3 3, 4, 5, … 16 Given that x is an integer. What is the smallest value of x, when x > -12?

A -13

B -12

C -11

D -10

60 km/h

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17 Which of the following is a possible value for x if 3110 ≤< x and x is an even number?

A 10

B 15

C 20

D 31

18 Which of the following is a correct step to solve the inequality 106 <+x ?

A 610−<x

B 610+<x

C 610−>x

D 610+>x

19 Which of the following is a correct step to solve the inequality 282 <− x ?

A 2

282

2−

<−

− x

B 2

282

2−

>−

− x

C 2

282

2>

−

− x

D 2

282

2<

−

− x

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20 The number line below represents an inequalities.

Which of the following values are represented by the number line?

A 0, 1, 2, 3

B 0, 1, 2, 3, 4

C -1, 0, 1, 2, 3, 4

D 0, 1, 2, 3

21 Find the greatest integer that satisfies the inequality 123 <m .

A 15

B 9

C 4

D 3

22 Which of the following inequalities has a solution of ,...7,6,5=x ?

I 122 >x

II 83 ≥+x

III 31>−x

A III only

B I and II only

C II and III only

D I, II and III

-2 -1 0 1 2 3 4 5

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23 Given that 85

41

<< x , a possible value of x is

A 41

B 21

C 85

D 43

24 The solution for 53 ≤−z and 164 >z is

A

B

C

D

3 4 5 6 7 8 9 10

3 4 5 6 7 8 9 10

3 4 5 6 7 8 9 10

3 4 5 6 7 8 9 10

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25 The solution for pp 21864 −>+ is

A 2>p

B 4>p

C 6>p

D 12>p

All question from number 26 to number 30 must be answered in word. 26 The inequality 5 > 3 can be read as Answer : 27 Explain the information given in the signboard Answer :

110 km/h

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28 Describe the values represented by the number line shown Answer :

29 Explain how to solve the inequality 523

≤+x

.

Answer :

-2 -1 0 1 2 3 4 5 6 7

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30 The diagram shows the solution of x > 5 on a number line What is the meaning of the symbol “ ” in the diagram? Answer : From Question 31 – 35, the teacher reads the questions to the students. Students choose the correct answer. 31

A 21, 22, 23 , 24, 25

B 20, 21, 22, 23, 24

C 20, 19, 18, 17, 16

D 19, 18, 17, 16, 15

3 4 5 6 7 8

14

32

A 5, 6, 7, 8, 9, 10

B 6, 7, 8, 9, 10

C 5, 6, 7, 8, 9

D 6, 7, 8, 9

33

A 5, 6, 7, 8, 9, 10

B 6, 7, 8, 9, 10

C 5, 6, 7, 8, 9

D 6, 7, 8, 9

34

A t < 2

B t ≤ 2

C t > 2

D t ≥ 2

15

35

A 50 < C < 65

B 50 ≤< C ≤ 65

C 50 < C ≤ 65

D 50 ≤C < 65

END OF QUESTION PAPER

16 17

18

19

20

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

21 22

23

24

25

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

26 27

28

29

30

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK

GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG. PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH

SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH

KEMENTERIAN PELAJARAN MALAYSIAKERTAS JAWAPAN OBJEKTIF

Ujian Diagnostik

5152

53

54

55

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

5657

58

59

60

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

4647

48

49

50

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

4142

43

44

45

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

31 32

33

34

35

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

36 37

38

39

40

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

1 2

3

4

5

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

6 7

8

9

10

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

11 12

13

14

15

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Konstruk No. Soalan Jumlah Soalan

Bilangan Soalan Gagal Dijawab

Kegunaan Guru

K1

K3

K5

K6

K7

K8

K10

1-5

6-10

11-15

16-20

21-25

26-30

31-35

5

5

5

5

5

5

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 10