Page 112 - Mathematics

(c) 3 x− ≥ 5(3 x− ) 8. Solve and represent the solution
y − 3 y of each of the following on a
1
(d) −>
4 2 number line.
(a) 73x− ≤ 2
6. Represent the solution of each of the
1
3
following inequalities on a number line. (b) 2x −<
2x 1 2x 3 1 3
(a) − (x − 3) ≤ − (x + 2) (c) x − < 2
4
2
5 2 5 10
2
(b) (x + 7) − x > 1 (3 x− ) + x (d) 0.2m + 1.7 ≥ 0.5
3 4 2 6
Tanzania Institute of Education
(c) 3 m− < 4(m − 3) 9. Solve each of the following
(d) 2(1 u− ) 5 .u≥ inequalities.
(a) 3x − 7 ≤ 4
7. Find the solution of each of the (b) 42y− > 6

following inequalities. 9
1 (c) c + 5 32 < 31
1
(a) 22x−≤
2
1 (d) 5x + 2 ≥ 8
(b) 31 x− ≥
3 10. Prove that:
1 2
(c) y + 3 > (a) x−= x
2 3
y
b 1 b+ (b) x = y if and only if x =
(d) 2−− ≤
4 3 or x = − . y

Word problems involving inequalities
In real-life activities, there are some situations which require setting limits of

quantities. Some of these activities include describing maximum number of people
Mathematics Form One and so on. Such relationships can be represented and solved by using concepts
to attend a ceremony, minimum pass marks, maximum amount of salt required

of inequalities.

106

25/10/2024 09:51:39
Mathematics form 1.indd 106
Mathematics form 1.indd 106 25/10/2024 09:51:39