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Unit 1 & 2 - Day 6: Solving Absolute Value Inequalities

|NOTES |EXAMPLES |

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| |Example #1: Solve an Absolute Value Inequality (>) |

|Absolute Value Inequalities: |Solve │3x - 12│ ≥ 6 |

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| |│3x - 12│ ≥ 6 |

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|GREATOR statements become “_____” inequalities. | |

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|│x│ > 3 | |

|Becomes | |

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| |To do #1: Solve an Absolute Value Inequality (>) |

| |Solve │2x – 2│ > 4 |

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| |│2x – 2│ > 4 |

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|LESS THAND statements become “_____” inequalities | |

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|│x│< 3 | |

|Becomes | |

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| |Example #2: Solve an Absolute Value Inequality ( Negative | |

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|This is ALWAYS true: | |

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|_______________________ |To do #2: Solve an Absolute Value Inequality ( 27 |│4a - 3│ ≤ -3 |

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|3. │[pic] – 3 │ ≤ 5 | |

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|4. │a + 9│ ≥ 30 | |

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|5. │2f – 11│ > 9 | |

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|6. │5w + 2│ ≤ 28 | |

| |Example #4: Solve an Absolute Value Inequality |

|7. │10 – 2k│ < -2 |Solve │4a – 3| + 5 > 2 |

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|8. │[pic] – 5│ + 2 ≥ 10 |│4a – 3| + 5 > 2 |

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|9. │4b – 11│ < 17 | |

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|10. │100 – 3m│ > -20 | |

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|11. |x – 5| + 3 > 1 | |

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|12. 5|2z + 3| < -5 | |

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|13. |x – 1| > 3 |Example #5: Writing Absolute Value Inequalities |

| |You are cutting pieces of wood to make a table. Each piece should be 4.75 ft, but you will use|

|14. 3|r + 5| - 3 > 6 |a piece if it is greater than 4.7 ft and less than 4.8 ft. Write an absolute value inequality |

| |for the length of the wood. |

|15. 5|y + 3| - 2 < -10 | |

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|#’s 16 – 18 Write an absolute value inequality to | |

|describe each situation. | |

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|16. In order to enter the kiddie rides at the | |

|amusement park, a child must be at least 4 years | |

|old, but no more than 10 years old. | |

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|17. The temperature of a freezer is less than 16⁰F |To Do #3: Writing Absolute Value Inequalities |

|and greater than 12⁰F. |The temperature of a refrigerator is at least 35⁰F and at most 41⁰F. Write an absolute value |

| |inequality for the temperature of the refrigerator. |

|18. In car racing, the greatest allowable height is| |

|53 in. and the least allowable height is 51 in. | |

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