Page 16 - Focus KSSM SPM 2021 TG4.5 - Maths DLP

Mathematics SPM Chapter 6 Linear Inequalities in Two Variables

Food Fat (g) Salt (g) 6. State three inequalities that define the shaded region
in the diagram below.
Burger 8 1.2
Chicken nugget 3 0.2 y

Let the number of burgers taken is x and the
number of nuggets taken is y. y = x – 2
x
0
2. Determine whether each of the following points is x 2y = 4
the solution of the system of linear inequalities.
(a) (3, –2); y  –2x + 1, x – 2y  4 7. State four inequalities that define the shaded region
1
(b) (–1, 7) ; y  x + 9, y  x in the diagram below.
3
(c) (7, – 4) ; y  4x , y  –2x + 10 y Form 4
y = 2x 2
1
Form 4
—x
3. The diagram below shows three straight lines. y =
2
y x
y = 2x 3 0 y = –x 5

y = –2x 3
0 x
1 8. State three inequalities that define the shaded region
y = – x – 1 in the diagram below.
—
2
y
Shade the region that satisfies the system of linear
1
inequalities y  – x – 1, y  2x + 3 and y  –2x + 3.
2 y = –2x 4
4. On the diagram below, shade the region that x 2y = 4
satisfies the system of linear inequalities y  2x, 0 x
y  –x + 2 and y  0.

y
y = 2x 9. On the diagram below, shade the region that
satisfies the system of linear inequalities y  –x + 4,
y  2x + 4 and y  –1.
x y
0
y = –x 2 y = 2x 4
4
2
5. On the diagram below, shade the region that y = –x 4
satisfies the system of linear inequalities y  1 x, –2 –1 0 2 4 6 x
3
2y  x – 2, y  –x + 4 and y  0. y = –1
y
10. Mr Goh wants to plant two types of flower trees, C
1
y = and D in his house area. The table below shows the
—x
3 prices of a tree C and of a tree D.
2y = x – 2
x
0 Tree Price per tree (RM)
y = –x 4 C 4

D 6

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06 Focus SPM Maths F4.indd 96 17/02/2021 5:24 PM