3.6 Solving Absolute Value Equations and Inequalities.
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3.6 Solving Absolute Value Equations and Inequalities
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Transcript of 3.6 Solving Absolute Value Equations and Inequalities.
![Page 1: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/1.jpg)
3.6 Solving Absolute Value Equations and
Inequalities
![Page 2: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/2.jpg)
Solve the equation.
|x + 2| = 3
![Page 3: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/3.jpg)
Answer
x = -1
x = -5
![Page 4: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/4.jpg)
Solve the equation.
|2x|+3 = 21
![Page 5: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/5.jpg)
Answer
x = -9
x = 9
![Page 6: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/6.jpg)
Solve the equation.
|-3x|- 2 = 7
![Page 7: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/7.jpg)
Answer
x = -3
x = 3
![Page 8: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/8.jpg)
Solve the equation.
-2|x – 4| = -8
![Page 9: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/9.jpg)
Answer
x = 8
x = 0
![Page 10: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/10.jpg)
Solve the inequality and graph the solution.
|x + 8| > 3
![Page 11: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/11.jpg)
Answer
x > -5
OR
x < -11
![Page 12: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/12.jpg)
Solve the inequality and graph the solution.
|3x + 1| > 8
![Page 13: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/13.jpg)
Answer
x > 7/3
OR
x < -3
![Page 14: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/14.jpg)
Solve the inequality and graph the solution.
|5x – 4| < 16
![Page 15: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/15.jpg)
Answer
x > -12/5
AND
x < 4
![Page 16: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/16.jpg)
Solve the inequality and graph the solution.
|2x-5|< 9
![Page 17: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/17.jpg)
Answer
x > -2
AND
x < 7
![Page 18: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/18.jpg)
Solve the equation.
|5x + 2| = -4
![Page 19: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/19.jpg)
Answer
NO SOLUTION
![Page 20: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/20.jpg)
Solve the equation.
-8|x - 6| = -64
![Page 21: 3.6 Solving Absolute Value Equations and Inequalities.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f3e5503460f94c5f09d/html5/thumbnails/21.jpg)
Answer
x = 14
x = -2