The inequality is
.
Subtract 5 from each side.
\
Multiply each side by negative 1 and reverse the inequality symbol.
\
The absolute value inequality
is equivalent to
.
Solve the inequality 1:
.
Subtract 4 from each side.
\
.
Solve the inequality 2:
.
Subtract 4 from each side.
\
.
The solution set is
.