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Unit 1 & 2 - Day 6: Solving Absolute Value Inequalities
|NOTES |EXAMPLES |
| | |
| |Example #1: Solve an Absolute Value Inequality (>) |
|Absolute Value Inequalities: |Solve │3x - 12│ ≥ 6 |
| | |
| |│3x - 12│ ≥ 6 |
| | |
|GREATOR statements become “_____” inequalities. | |
| | |
|│x│ > 3 | |
|Becomes | |
| | |
| | |
| | |
| | |
| |To do #1: Solve an Absolute Value Inequality (>) |
| |Solve │2x – 2│ > 4 |
| | |
| |│2x – 2│ > 4 |
| | |
| | |
|LESS THAND statements become “_____” inequalities | |
| | |
|│x│< 3 | |
|Becomes | |
| | |
| | |
| | |
| |Example #2: Solve an Absolute Value Inequality ( Negative | |
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|This is ALWAYS true: | |
| | |
|_______________________ |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 |
| | |
|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 | |
| | |
| | |
|#’s 16 – 18 Write an absolute value inequality to | |
|describe each situation. | |
| | |
|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. | |
| | |
|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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