Page 34 - Mathematics

2. Which of the following inequalities are true?
(a) 250− <− 150 (d) 66≠
(b) 2 ≤− 2 (e) − 3 3=
(c) 5 >− 2 (f) 5 ≥− 2
3. List the numbers which satisfy each of the following conditions.
(a) x < if x is a counting number.
6
(b) x ≤ if x is a whole number.
4
(c) x > if x is an odd number.
3
(d) x >− and x ≤ if x is an integer.
3
4
4. In each of the following, insert a correct inequality symbols in the box
Tanzania Institute of Education
to make a true statement.
(a) − 5 ( 3)×− 8 ( 3)×− (d) 6 ( 4)×− − 3 ( 4)×−

(b) 13 ( 2)×− 7 ( 2)×− (e) If ab> , then a×− b×−
( 9)
( 9)
(c) 8 (5)× 2 ( 5)×−
5. Write all whole numbers in the interval 4−≤ x < 6.
6. Give a verbal statement equivalent to each of the following inequalities.
3
(a) 1 x<≤ 10 (b) x <− or x > 4.
7. Ester is shorter than Nancy and Nancy is taller than Hyasinta. Express
mathematically the relationship between their heights.
8. Anna has Tshs 500,000 in her bank account. Every week she withdraws

Tshs 40,000 for various expenses. Without making any deposit, how
many weeks can she withdraw this money if she wants to maintain a
balance of at least Tshs 200,000?
9. The sum of two consecutive integers is at least negative fifteen. What
are the smallest values of consecutive integers that will make this true?
10. Represent mathematically three real-life inequality scenarios of your
choice.

Representing real numbers on a number line
Mathematics Form One Sometimes it is not easy to list all elements of a set of real numbers. For example,

1
it is not possible to list all real numbers which are greater than . However, the
2
use of inequality symbols helps to define the elements in the given set. In this case,
1
1
defines all the required
if x is a real number which is greater than , then x >
2
2
elements in the set.
28

25/10/2024 09:51:08
Mathematics form 1.indd 28
Mathematics form 1.indd 28 25/10/2024 09:51:08