# How do you graph and solve #abs(x-4) <6 #?

##### 1 Answer

#### Explanation:

Rewrite the problem so that everything is less than

This becomes:

Let's focus on what

graph{|x| [-10, 10, -5, 5]}

Notice how the graph is always above

Now the

graph{|x-4| [-10, 10, -5, 5]}

Now the

graph{|x-4|-6 [-14.24, 14.24, -7.12, 7.12]}

We can't forget about the

graph{y<|x-4|-6 [-22.81, 22.8, -11.4, 11.41]}

Now that we have successfully graphed this, we can solve it by finding the zeroes. This happens at