Example 2: Absolute Value Equations

Absolute Value

Example 2

Step-by-step worked example for this lesson track.

Problem

\text{Greater solution of }|x-0|=8\text{ is }?

1. Recognize Pattern

|x-h|=d\Rightarrow x=h\pm d

2. Apply Method

|x-10|=9\Rightarrow x\in\left\{1,19\right\}

3. Conclude

x=0\pm8\Rightarrow x\in\left\{-8,8\right\}

Final answer

x=0\pm8\Rightarrow x\in\left\{-8,8\right\}