Page 11 - Focus KSSM SPM 2021 TG4.5 - Maths DLP

Mathematics SPM Chapter 6 Linear Inequalities in Two Variables
1 (b)
(c) y  x + 1 y
2
y
x
0
1
—
y = x 1 y = 3x – 1
2
0 x

(d) y  2x + 7 (c) y
y 1
—
y = – x 1
y = 2x 7 2
Form 4
0 x
x
0
Form 4

8. Draw and shade the region that satisfy the following
(e) y  –x + 1 linear inequalities.
(a) y  –x – 1
y
(b) y  2x
1
(c) y  – x – 1
y = –x 1 2
0 x (d) 1 x – y  2
3

6. For each of the following graph, determine whether
the shaded region satisfies the inequality given. Systems of Linear Inequalities
(a) y  –2x – 5 6.2 in Two Variables
y

x
0 A Representing situations in the form
y = –2x – 5 of system of linear inequalities
1. System of linear inequalities in two variables
is a set of two or more linear inequalities with
(b) x – y  3 similar variables. For example, x + 2y  3 and

y y  x – 4 is a system of linear inequalities in two
variables that consists of two linear inequalities.
x
0
2. The table below shows the linear inequalities
x – y = 3 used to represent certain situations.
Linear
Example of situation
inequality
7. State the inequality that defines each of the following y is greater than x y  x
shaded regions.
(a) y y is less than x y  x

3 y is not less than x y  x
y = – x
—
2
0 x y is not more than x y  x
y is at least k times x y  kx

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