1-6 Practice Solving Compound and Absolute Value Inequalities Write an absolute value inequality for each graph. 1. 2. 3. 4. Solve each inequality. Graph the solution set on a number line. 3y 20 < 52 3(5x 2) < 24 or 6x 4 > 4 + 5x 5. 6. –8 ≤ – – – 7. 2x 3 > 15 or 3 7x < 17 8. 15 5x 0 and 5x + 6 – – – ≤ ≥ –14 9. |2w| 5 10. |y + 5| < 2 ≥ 11. |x 8| 3 12. |2z 2| 3 – ≥ – ≤ 13. |2x + 2| 7 14. |x| > 1 x – ≤ –5 – |3b + 5| |3n 2| 2 < 1 15. 16. ≤ –2 – – 17. RAINFALL In 90% of the last 30 years, the rainfall at Shell Beach has varied no more than 6.5 inches from its mean value of 24 inches. Write and solve an absolute value inequality to describe the rainfall in the other 10% of the last 30 years. 18. MANUFACTURING A company’s guidelines call for each can of soup produced not to vary from its stated volume of 14.5 fluid ounces by more than 0.08 ounces. Write and solve an absolute value inequality to describe acceptable can volumes.
1-6 Practice Solving Compound and Absolute Value Inequalities Write an absolute value inequality for each graph. 1. 2. 3. 4. Solve each inequality. Graph the solution set on a number line. 5. –8 ≤ 3y – 20 < 52 6. 3(5x – 2) < 24 or 6x – 4 > 4 + 5x 7. 2x – 3 > 15 or 3 – 7x < 17 8. 15 – 5x ≤ 0 and 5x + 6 ≥ –14 9. |2w| ≥ 5 10. |y + 5| < 2 11. |x – 8| ≥ 3 12. |2z – 2| ≤ 3 13. |2x + 2| – 7 ≤ –5 14. |x| > x – 1 15. |3b + 5| ≤ –2 16. |3n – 2| – 2 < 1 17. RAINFALL In 90% of the last 30 years, the rainfall at Shell Beach has varied no more than 6.5 inches from its mean value of 24 inches. Write and solve an absolute value inequality to describe the rainfall in the other 10% of the last 30 years. 18. MANUFACTURING A company’s guidelines call for each can of soup produced not to vary from its stated volume of 14.5 fluid ounces by more than 0.08 ounces. Write and solve an absolute value inequality to describe acceptable can volumes.
1_6%20Solving_Compound_and_Absolute_Value_Inequalities.docx