Page 111 - Mathematics_F1

Combining the two inequalities gives,
2
−≤ x ≤ 2
Therefore, the solution of the inequality is represented on the following number
line.
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Example 5.45
Tanzania Institute of Education

1
3
Find the solution of 2x +> and represent it on a number line.
Solution

1
Given 2x +> 3. It follows that, (2x± + ) 1 > 3.
Thus, either (2x+ + ) 1 > 3 or − (2x + ) 1 > 3.

13
13
2x +> or 2x− −>
2x > or 2x− > 4
2
x > or x <− 2
1
Therefore, the solution of the inequality is x <− 2 or x > 1.
The representation of this solution is shown on the following number line.

Example 5.46 3 3.

Mathematics Form One Solution 3 3, it implies that the inequality is valid if and only if 2x +≥
Find the values of real numbers x which satisfy the inequality 2x +<

3 0
Given 2x +<
because the square root of a negative number is not a real number. It follows that,
3
2x ≥−

104

25/09/2025 15:01:20
Mathematics form 1.indd 104
Mathematics form 1.indd 104 25/09/2025 15:01:20