Page 109 - Mathematics_F1

10. Use the following two figures to calculate the values of x and y.

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Tanzania Institute of Education

Solution of inequalities with one (c) Multiplying or dividing on both
unknown sides by a negative number changes

Solutions of inequalities with one the inequality sign.
variable are determined by using similar
approach as that used in solving linear
equations. However, there are some Example 5.40
specific aspects to consider when solving 1
3
inequalities. In most cases, solutions in Solve for the values of x if x − < 2 .
inequalities are presented in range or as Solution
a set. Thus, solving linear inequalities 1
3
requires adhering to the following rules: Given x − < 2 .
(a) Adding or subtracting an equal Add 3 to both sides of the inequality
value to both sides does not change to obtain, 1 + 3
Mathematics Form One (b) Multiplying or dividing on both x < 3 . 3 .
the inequality sign.
x −
33+ <
2
1
sides by a positive number does
2
not change the inequality sign.
1
Therefore, x <
2

102

25/09/2025 15:01:18
Mathematics form 1.indd 102
Mathematics form 1.indd 102 25/09/2025 15:01:18