Question

How do you graph and solve `|x-4|-5 <1`?

Answer 1

Mark the ends of the closed interval `[-2, 10]`. The segment in-between (sans the ends) is the graph for the inequality that is equivalent to `x> -2 and x<10`.

Explanation:

`|x-2|<6`.

This is the combined inequality for the couple

`x-4<6 and -(x-4)<6`

So, `x<10 and x> -2`.