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• When performing reciprocal of both numbers on both sides of the inequality, the
direction of the inequality symbol is reversed.

If a , b,
1 1
then . . If 2 , 6
a b 1 1
then .
It is known as multiplicative inverse. 2 6

Self Practice 7.1e

Fill in each box with the symbol ‘,’ or ‘.’.

1. (a) (i) –8 16 (ii) –8 + 2 16 + 2 (iii) –8 – 2 16 – 2

(b) (i) 8 –16 (ii) 8 + 5 –16 + 5 (iii) 8 – 5 –16 – 5
(c) (i) –8 –16 (ii) –8 + 1 –16 + 1 (iii) –8 – 1 –16 – 1

2. (a) (i) 8 16 (ii) 8 × 2 16 × 2 (iii) 8 ÷ 2 16 ÷ 2

8 16 CHAPTER
(b) If 8 , 16 and c . 0, then 8c 16c and .
c c
16 8 7
(c) If 16 . 8 and c . 0, then 16c 8c and .
c c

3. (a) (i) 6 12 (ii) 6 × (–3) 12 × (–3) (iii) 6 ÷ (–3) 12 ÷ (–3)
1 1
(iv) – 6 –12 (v)
6 12
6 12
(b) If 6 , 12 and d , 0, then 6d 12d and .
d d
12 6
(c) If 12 . 6 and d , 0, then 12d 6d and .
d d

7.1 Open the folder downloaded from page vii for extra
questions of Mastery Q 7.1.

1. Fill in the boxes with the symbol ‘.’ or ‘,’ so that each of the following statements
becomes true.
(a) (−5) (−6) (b) 0.1 3  (c) 6 + x 8 + x
0.008
2
2
(d) m + 3 m (e) 10 − k 8 − k (f) 2x + 5 2x − 5
2.
x y
(a) Based on the number line above, describe the relationship between x and y as an
inequality by using ‘is greater than’.
(b) Hence, form an algebraic inequality for the relationship.

157
Linear Inequalities

07 TB Math F1.indd 157 11/10/16 12:16 PM