# How do you solve graphically #abs(x – 4)>abs(3x – 1)#?

##### 1 Answer

#### Explanation:

The first thing you do is to draw the graphs

graph{(y-abs(x-4))(y-abs(3x-1))=0 [-20.28, 20.27, -10.14, 10.13]}

Now the question is what parts of the graph above satisfies the equation

Hence, going from the right, the equation of each branch is

The branches

Therefore, we need to find the point of intersection

Finally, looking at where