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