Algebra - Absolute values - inequalities.
Test Yourself 1.
Solve each of the following inequalities and graph your result on a number line. | |
1. |x - 1| > 3 | 2. |6x - 7| > 5 |
3. |2m + 3| ≤ 3. |
4. |5x + 4| > 6 |
5. |9x + 4| ≤ 5 | 6.
Answer.-8 < x < 8. |
7.
Answer.-5 < x < 7 |
8.
Answer.x < -5 or x > 3. |
9.
Answer.-5.5 < x < 0.5. |
10. (i) Sketch the graph y = 4 - x2 indicating clearly the x and y intercepts. (ii) On the same set of axes, (iii) Hence or otherwise solve
|
11. Shade the region where the following inequalities hold simultaneously:
|