Let x be the number
\Observe the graph: a circle marked on the graph. So,
\the points are not included in the set.
\The number x is less than
and greater than 1.
The distance between x and 0 is 1 unit.
The solution set is 
The absolute value of a number is its distance from 0 on the number line.
\So, the absolute value inequality for the graph is
\ \
The absolute value inequality for the graph is
.