Question

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

Answer 1

`x=16 or x=-4`

Explanation:

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

`(x-6)=10 or (x-6)=-10`

`therefore x=16 or 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.