The inequality is
.
Multiply each side by 2.
\
.
The absolute value inequality
is equivalent to
or
.
Solve the inequality 1:
.
Subtract n from each side.
\


Divide each side by negative 3 and reverse the inequality symbol.
\
Cancel common terms.
\
.
Solve the inequality 2:
.
Subtract n from each side.
\

.
The two inequalities
can be written as
.
Graph the solution set for each inequality and find their intersection.
Observe the graph, the open circle means that 1 is not a solution of the inequality.
The solution set is
and its graph is