How do you solve and graph #abs(x-8)=11#?
Use the definition of the absolute value function:
Separate into two equations.
Simplify the domain restrictions.
Solve the equations.
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: