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Section 2.15 : Absolute Value Inequalities

Solve each of the following inequalities.

1. \(\left| {3x + 1} \right| \le 9\)
2. \(\left| {10w - 4} \right| < 2\)
3. \(\left| {8t - 5} \right| \le 0\)
4. \(\left| {9 - z} \right| < 14\)
5. \(\left| {2 - 7u} \right| \le 20\)
6. \(\left| {4x + 2} \right| < - 1\)
7. \(\left| {1 - 4z} \right| > 1\)
8. \(\left| {3w + 15} \right| \ge 4\)
9. \(\left| {6t - 10} \right| > 12\)
10. \(\left| {8 - 2x} \right| \ge 5\)
11. \(\left| {4u - 1} \right| > - 1\)