Page 19 - Focus KSSM SPM 2021 TG4.5 - Maths DLP

Mathematics SPM Chapter 6 Linear Inequalities in Two Variables
5. Draw and shade the region that satisfies the 9. On the diagram below, shade the region that
following linear inequality. satisfies the system of linear inequalities x + y  4,
(a) y  x + 1 y  3x + 2 and y  x.
(b) y  –2x + 2 y y = 3x 2

6. Write two linear inequalities based on the situations 4 y = x
below. 2
Siti is controlling her diet. The intake of protein and x y = 4
fat for breakfast should not exceed 15 g and 12 g –2 0 2 4 x
respectively. The table below shows the protein and –2
fat content for Siti’s favourite delicacies.

Food Protein Fat Form 4
10. On the diagram below, shade the region that
Kuih koci (one piece) 3 3 satisfies the system of linear inequalities y  –2x – 5,
Form 4
y – x  –3 and y  1.
Bingka ubi kayu (one piece) 1 4 y
y – x = –3
2
Let the number of kuih koci can be taken is x and y = 1
the number of bingka ubi kayu can be taken is y. –2 0 2 4 x
–2
7. Determine whether each of the following point is the –4
solution of the system of linear inequalities given. y = –2x – 5
(a) (–2, 5); y  –x + 4, y  3x – 2
(b) (3, 1); y  –x + 3, 2x + 2y  5
11. Draw and shade the region that satisfies the
following linear inequalities.
8. Shade the region that satisfies the following system (a) y  2x + 1, y  –x – 1, y  –3x + 5
of linear inequalities on the graph given.
(b) x + 2y  6, 2x – y  1, 2y  x – 4
1 1
(a) y  – x + 4, y  –2x + 4 and y  x
2 3
12. A factory produces two types of furnitures, cupboard
and table. The production of each furniture involves
y two processes which is installing and painting. The
1
—
y = – x 4 table below shows the time spent on the installing
2 1
—x
y = and painting processes.
3
Installing Painting
x
0 y = –2x 4 (minute) (minute)
Cupboard 20 5
1
(b) y  –2x + 4, y  x + 2 and y  x – 1 Table 10 12
2
y The factory produces x units of cupboard and y units
of table daily. Given that the maximum amount of
1
—
y = x 2 time to install both furniture is 720 minutes. The total
2
y = x – 1 time to paint both furniture is over 300 minutes. The
number of tables does not exceed thrice the number
of cupboards.
x
0
y = –2x 4 (a) Write a system which consists of three linear
inequalities, other than x  0 and y  0, that
represents the situation above.

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06 Focus SPM Maths F4.indd 99 17/02/2021 5:24 PM