Page 112 - Mathematics_F1

− 3 1
5
x ≥ (i) (1) (d) 2x −≤
2 2
Squaring both sides of the given (e) x − 1 < 1
2
2
2
inequality gives, (f) 6x + 42≥
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( 2x + 3 ) 2 < 3 2 3 1 Tanzania Institute of Education
(g) 4x − 4 > 2x + 4
39
2x +<
2x < 6 3. Find the solution for each of the
x < 3 (ii) following inequalities.
(2)
Combining the two solutions (1) and (a) y > 2
3 (b) 2 y−− ≤ 1
x
(2) gives − ≤< 3.
3
2 (c) y ≤
Therefore, the solution of the (d) y < 5
3 2
inequality is − ≤< 3.
x
2 (e) y + 2 > 2
4. Represent the solution of each
Exercise 5.10
of the following on a number
line.
1. List the numbers which satisfy (a) x− 4 ≤ 5

each of the following conditions.
6
(a) x < if x is a counting (b) x > 2.5
number. (c) 7 x− > 0
(b) x ≤ if x is a whole 2
4
number. (d) − 3 x − 4 < 2
3
(c) x > if x is an odd
number. (e) 4x − 2 ≥ 8
4
(d) x >− and x ≤ if x is (f) 1 − x > 3
3
an integer. 2
2. Solve for x in each of the
following inequalities. 5. Find the solution of the
(a) 5x > 12 following inequalities. Mathematics Form One

(b) 4 x− < 10 (a) 2(2x + 3 3) 10 6(x− < 4x − 2)
2x +
62 +
x
(c) 2 −> 8 (b) +≥
4 3

105

25/09/2025 15:01:21
Mathematics form 1.indd 105
Mathematics form 1.indd 105 25/09/2025 15:01:21