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What are the properties of inequalities? LEARNING
STANDARDS
1 Pair Make generalisation about
inequality related to
(i) the converse and
Aim: To explore the converse property and the transitive properties,
additive and
transitive property of inequalities. multiplicative inverse,
Instruction: • Perform the activity in pairs. (ii) basic arithmetic
• Open the folder downloaded from operations.
page vii.

1. Open the file converse and transitive properties.pdf
and print the file.

2. Complete the sentence in (a) for each quiz.

3. Fill in the blanks in (b) using the inequality symbol
‘.’ or ‘,’.

From the results of Exploration Activity 1, it is found that
CHAPTER
7 • if a is less than b, then b is greater than a.
Converse property of inequality: If a , b, then b . a.
• if a is less than b and b is less than c, then a is less than c.
Transitive property of inequality: If a , b , c, then a , c.
4

(a) Write the converse property of inequality
(i) 10 , 24, (ii) – 4 . –13.
(b) Write the transitive property of inequality –5 , –1 , 9.

(a) (i) 24 . 10 (ii) –13 , – 4
(b) –5 , 9

Self Practice 7.1d

1. Write the converse property of each of the following inequalities.
(a) 5 , 14 (b) 8 . –8 (c) –23 . –32
1 1
(d) 6.7 . 1.5 (e) . (f) –2 . –11.8
13 14
2. Write the transitive property of each of the following inequalities.
(a) –2 , 5 , 10 (b) –15 , –8 , 0 (c) – 4.56 , –1.52 , 2.01
2 1 1 1 1 1 1
(d) –17 , 11 , 20 (e) , , (f) –8 , – 4.3 ,
9 5 3 20 14 7 9

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Chapter 7

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