# How do you graph and solve |x – 6| = 10?

Jan 13, 2016

$x = 16 \mathmr{and} x = - 4$

#### Explanation:

By definition and properties of absolute values, we may write this as

$\left(x - 6\right) = 10 \mathmr{and} \left(x - 6\right) = - 10$

$\therefore x = 16 \mathmr{and} x = - 4$.

This would hence be graphed as 2 parallel vertical lines, one running through $16$ on the x-axis and the other running through $- 4$ on the x-axis.