Page 18 - Focus KSSM SPM 2021 TG4.5 - Maths DLP

Mathematics SPM Chapter 6 Linear Inequalities in Two Variables
7. A carpenter makes two types of cupboards, P and PAPER 2
2
Q. The production of cupboard P requires 8 m plank
2
while cupboard Q requires 12 m plank. He only 1. Write a linear inequality for the situation below.
has a plank of 200 m . The number of cupboard P An electrical store wants to deliver x refrigerators
2
produced should be twice the number of cupboard and y washing machines, using a truck with a
Q. Let the number of cupboard P is x and the load of 1 000 kg to the customers. The mass of
number of cupboard Q is y, form two inequalities a refrigerator and a washing machine are 110 kg
based on the above situation. and 90 kg respectively.
A 8x + 12y  200, x  2y
B 8x + 12y  200, x  2y
C 8x + 12y  200, x  2y 2. Which of the following points is the solution for each
D 8x + 12y  200, x  2y of the following inequalities.
2
(a) y  – x – 1; point (6, – 4) or (–3, 0)
8. The following points satisfy the system of linear 3 Form 4
inequalities 2y – x  5 and y  3x except (b) y  –4x + 3; point (3, 1) or (–2, 4)
A (–2, –1)
Form 4
B (5, –3) 3. State the inequality that defines each of the following
C (1, 3) shaded region.
D (–4, –2) (a) y

9. The graph below shows a system of linear y = 5 – 2x
inequalities.
y x
0
4
y = –x – 1
2 (b) y
1
x —
–4 –2 0 2 4 y = x
2
1 –2 x
—
y = x 0
2
–4

Choose inequalities that define the shaded region. 4. Shade the region that satisfies
1 (a) y  2x + 7
A y  x, y  –x – 1
2
1 y
B y  x, y  –x – 1
2 y = 2x 7
1
C y  x, y  –x – 1
2
1
D y  x, y  –x – 1
2 0 x

10. Inequality P and inequality Q in a system of linear (b) x – 2y  6
inequalities do not have a solution. Given inequality
P is y  3 – 2x, choose the possible inequality Q. y
A y  –2x – 1 HOTS x – 2y = 6
B y + 2x  –1 Analysing x
0
C y + 2x  5
D y  –2x – 5

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06 Focus SPM Maths F4.indd 98 17/02/2021 5:24 PM