# How do you graph and solve #|8n+4| > -4#?

##### 1 Answer

#### Answer:

See below

#### Explanation:

The solving part is quite easy: the absolute value of a certain quantity is always positive (or zero), so the inequality is always true.

In fact, you're basically asking: "When is a non-negative quantity greater than something negative?"

Well, by definition, the answer is "always", otherwise we would have a positive number which is smaller than a negative number.

As for the graphing part, recall what we said above to see that

The point where

So, this line is positive from

This means that

graph{|8x+4| [-1 0.5 -0.7 4]}