Absolute Value Equations & Inequalities Notes PDF

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Summary

These notes cover various concepts related to absolute value equations and inequalities. The examples demonstrate different ways of solving problems involving absolute value equations. The text contains questions.

Full Transcript

[Chapter 1.7 Absolute Value Equations & Inequalities NOTES] Remember that the **absolute value** of a number is the \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_the number is from 0 on a number line. It is written as **\|*x*\|.** Absolute value is **always \_\_\_\_\_\_\_\_\_\_\_\_**. Ex: \|-5\| = \_\_\_\_\_\_ be...

[Chapter 1.7 Absolute Value Equations & Inequalities NOTES] Remember that the **absolute value** of a number is the \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_the number is from 0 on a number line. It is written as **\|*x*\|.** Absolute value is **always \_\_\_\_\_\_\_\_\_\_\_\_**. Ex: \|-5\| = \_\_\_\_\_\_ because it is \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. **[1.7.1 Solve a simple absolute value equation ]** ![](media/image7.png) **EXAMPLE \#1: \|** *x - 5* \| = 9 **[1.7.2 Solve an absolute value equation ]** ![](media/image8.png) **EXAMPLE: \|*g* - 2\| = 7** **[1.7.4 Solve an inequality of the form \|ax + b\| \>c ]** ![](media/image1.png) ***EXAMPLES ON NEXT PAGE*** 7*.* ![](media/image3.png) 8*.* 9*.* ![](media/image3.png)

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