[tex]\text{Hello there! :)}[/tex]
[tex]\boxed{-1/3 < n < 5/3}[/tex]
[tex]|3n - 2| - 2 < 1[/tex]
[tex]\text{Begin simplifying by adding 2 to both sides:}[/tex]
[tex]|3n - 2| < 3[/tex]
[tex]\text{ Solve for the positive and negative solutions:}[/tex]
[tex]3n - 2 < 3\\\\3n < 5\\\\n < 5/3[/tex]
[tex]-(3n - 2) < 3\\\\\text{Switch sign when dividing by a negative:}\\\\3n - 2 > - 3\\\\3n > - 1\\\\n > -1/3[/tex]
[tex]\text{Therefore, the solutions for the inequality are:}\\\\-1/3 < n < 5/3[/tex]
