Question

Solve the absolute value equation.
|X-2|+4=9

Answer 1

`x=7\text{ or } x=-3`

Explanation:

So we have the equation:

`|x-2|+4=9`

First, subtract 4 from both sides:

`|x-2|=5`

Definition of Absolute Value:

`x-2=5\text{ or } x-2=-5`

Add 2 to both sides for both equations:

`x=7\text{ or } x=-3`

And we're done!