Absolute Value Equations/Inequalities Graph each of the following on a number line. 1. 3 < x 5 2. 3. [0, 4) ≤ 4. x 4 and x < 7 5. x > or x < 3 ≥ −1 Solve each of the following. Graph the solution on a number line and state the solution set in notation and interval notation. 6. |x| = 5 7. |x| = 0 8. |x| 8 ≤ 9. |x| 6 10. |x| 11. |x| 0 ≥ ≥ −1 ≤ 12. |x 3| 5 13. |x + 3| 6 14. |x 4| 3 − ≤ ≤ − ≥ 15. |2x 5| 16 − ≤ Write an absolute value inequality with the given solution set. x < or x > 1 17. 18. or −5 Absolute Value Stations Review Station 1 Problems Solve and graph the following: 1. 3(x 2) 5 2. 6 4x 10 3. + 5 7 − ≥ − ≤ ≤
Absolute Value Equations/Inequalities Graph each of the following on a number line. 1. 3 < x ≤ 5 2. 3. [0, 4) 4. x ≥ 4 and x < 7 5. x > −1 or x < 3 Solve each of the following. Graph the solution on a number line and state the solution set in notation and interval notation. 6. |x| = 5 7. |x| = 0 8. |x| ≤ 8 9. |x| ≥ 6 10. |x| ≥ −1 11. |x| ≤ 0 12. |x − 3| ≤ 5 13. |x + 3| ≤ 6 14. |x − 4| ≥ 3 15. |2x − 5| ≤ 16 Write an absolute value inequality with the given solution set. x < −5 or x > 1 17. 18. or Absolute Value Stations Review Station 1 Problems Solve and graph the following: 1. 3(x − 2) ≥ 5 2. 6 − 4x ≤ 10 3. + 5 ≤ 7
mip-a2-3a-abs-eq-ineq.docx