Question

Solve the following inequality. |3n-2|-2<1

Answer 1

Answer: $\frac{-1}{3}$ < n < $\frac{5}{3}$

Step-by-step explanation:

| 3n - 2 | - 2 < 1

              +2 +2

| 3n - 2 |       < 3

3n - 2 < 3     and     3n - 2 > -3

     +2 +2                     +2   +2

3n       < 5      and     3n      > -1

       n <  $\frac{5}{3}$       and         n > $\frac{-1}{3}$

$\frac{-1}{3}$ < n < $\frac{5}{3}$

Interval Notation:  $(\frac{-1}{3},$$\frac{5}{3})$

Graph:  $\frac{-1}{3}$ o--------------------o $\frac{5}{3}$

Answer 2

$|3n-2|-2$