Page 33 - Mathematics

0.33 0.54

From the number line, 0.33 is on the left side of 0.54, which implies that it
is less than 0.54. Therefore, 0.33 0.54< or 0.54 0.33.> Tanzania Institute of Education

(b) –0.54 and –0.33 are located on a number line as follows:

-0.54

-0.33

From the number line, 0.33− is on the right side of 0.54,− hence 0.33− is
greater than 0.54.− Therefore, 0.33− >− 0.54 or 0.54− <− 0.33.

Example 2.15

Compare the following numbers by using the inequality symbols < and > .
(a) 0.432 and 0.437 (c) 3.7244 and 3.724

(b) 0.127− and 0.001 (d) − 7 and 5

Solution
(a) 0.432 < 0.437 or 0.437 > 0.432
(b) − 0.127 0.001< or 0.001>− 0.127
(c) 3.7244 3.724> or 3.724 3.7244<
(d) 5 >− 7 or − 7 < 5

Exercise 2.5

1. Write true or false in each of the following inequalities.
4
(a) 3 < 30 (d) 62≥ (g) 8− ≥− (j) 8 = − 8
(b) 5 >− (e) 3− <− (h) 4 <− − 5 Mathematics Form One
2
2
4
(c) 3 <− 30 (f) 2 >− (i) 5 < 10

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Mathematics form 1.indd 27
Mathematics form 1.indd 27 25/10/2024 09:51:08