# How do you graph and solve 6 - | 3y - 2 | = 10?

Oct 5, 2017

There can be no graph for this "equation" because it has no valid solutions.

#### Explanation:

Since the absolute value of anything $\ge 0$
$\left\mid 3 y - 2 \right\mid \ge 0$

$\rightarrow 6 - \left\mid 3 y - 2 \right\mid \le 6$

Therefore
$\textcolor{W h i t e}{\text{XXX}} 6 - \left\mid 3 y - 2 \right\mid$ can not be equal to $10$

I suppose for a graph, you could draw the X and Y axis and not put anything on the Cartesian Plane they define (or draw a number line for $y$ with no points selected on it).