Example 1: Absolute Value Equations

Absolute Value

Example 1

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

Problem

\text{Greater solution of }|x-0|=1\text{ is }?

1. Recognize Pattern

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

2. Apply Method

|x--4|=9\Rightarrow x\in\left\{-13,5\right\}

3. Conclude

x=0\pm1\Rightarrow x\in\left\{-1,1\right\}

Final answer

x=0\pm1\Rightarrow x\in\left\{-1,1\right\}