Page 110 - Mathematics

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

Tanzania Institute of Education
Example 5.46

3
1
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− −>
2
2x > or 2x− > 4
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 5.47 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

25/10/2024 09:51:37
Mathematics form 1.indd 104
Mathematics form 1.indd 104 25/10/2024 09:51:37