solving inequalities with absolute value. things we already know about inequalities!! >, < :...
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![Page 1: Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying](https://reader035.vdocuments.us/reader035/viewer/2022071806/56649db25503460f94aa19f4/html5/thumbnails/1.jpg)
Solving Inequalities with Absolute Value
![Page 2: Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying](https://reader035.vdocuments.us/reader035/viewer/2022071806/56649db25503460f94aa19f4/html5/thumbnails/2.jpg)
Things we already know about Inequalities!!
• >, < : on graph
• =, ≤, ≥, : on graph
• When dividing or multiplying by a NEGATIVE number, we reverse the inequality symbol!!
![Page 3: Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying](https://reader035.vdocuments.us/reader035/viewer/2022071806/56649db25503460f94aa19f4/html5/thumbnails/3.jpg)
Steps for Solving Inequalities with Absolute Values
1. Make sure Absolute Value is isolated! (Are there numbers not in the absolute value symbol?)
**Don’t forget when dividing or multiplying by negative number, reverse inequality symbol**
2. Make 2 Inequalities:1. One inequality has EXACT inequality = positive answer
2. One inequality has REVERSE inequality = negative answer
![Page 4: Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying](https://reader035.vdocuments.us/reader035/viewer/2022071806/56649db25503460f94aa19f4/html5/thumbnails/4.jpg)
Steps for Solving Inequalities with Absolute Values
3. Solve Inequalities following inequality rules!!**Don’t forget when dividing or multiplying by negative number, reverse
inequality symbol**
4. Graph on number line using inequality rules!!• >, < : on graph
• =, ≤, ≥, : on graph
![Page 5: Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying](https://reader035.vdocuments.us/reader035/viewer/2022071806/56649db25503460f94aa19f4/html5/thumbnails/5.jpg)
Let’s Goooooooooooooo!!!1. |n + 2| < 2 •Is the absolute value isolated?
• Write the 2 related inequalities.
•Solve each inequality.
•Graph your solution.
n + 2 < 2 n + 2 > -2
n + 2 > -2 - 2 -2n > -4
n + 2 < 2 -2 -2 n < 0
![Page 6: Solving Inequalities with Absolute Value. Things we already know about Inequalities!! >, < : on graph =, ≤, ≥, : on graph When dividing or multiplying](https://reader035.vdocuments.us/reader035/viewer/2022071806/56649db25503460f94aa19f4/html5/thumbnails/6.jpg)
2. |-6 + n| > 12•Is the absolute value isolated?
•Write the 2 related inequalities.
•Solve each inequality.
•Graph your solution.
- 6 + n > 12-6 + n < -12
n < -6+6 + 6 +6 + 6
n > 18