# How do you solve and graph #abs(x-8)=11#?

##### 1 Answer

Aug 16, 2017

#### Answer:

Use the definition of the absolute value function:

Separate into two equations.

Simplify the domain restrictions.

Solve the equations.

#### Explanation:

Given:

Use the definition:

Separate into two equations:

Simplify the domain restrictions:

Multiply the second equation by -1:

Add 8 to both sides of both equations:

Because the equations do not violate the restrictions we can drop the restrictions: