# How do you graph and solve 3abs( x+2)<0?

Jul 26, 2018

No solution - See below

#### Explanation:

$3 \left\mid x + 2 \right\mid < 0$

The absolute function returns a positive or zero value for all arguments. Hence, it should be obvious the no value of x can satisfy this inequality.

To show this graphically, consider the graph of $f \left(x\right) = 3 \left\mid x + 2 \right\mid$ below.

graph{3abs(x+2) [-10, 10, -5, 5]}

$f \left(x\right) \ge 0 \forall x \in \mathbb{R}$