#### Answer

The solution set is {n|n $\geq$ 18} , or [18, $\infty$) in interval notation.

#### Work Step by Step

Use the properties of inequalities to solve this inequality.
$\frac{2}{3}$n - 2 $\geq$ $\frac{1}{2}$n + 1
Add 2 to both sides.
$\frac{2}{3}$n $\geq$ $\frac{1}{2}$n + 3
$\frac{2n}{3}$ $\geq$ $\frac{n}{2}$ + 3
$\frac{2n}{3}$ - $\frac{n}{2}$ $\geq$ 3
$\frac{4n}{6}$ - $\frac{3n}{6}$ $\geq$ 3
$\frac{n}{6}$ $\geq$ 3
Multiply both sides by 6.
n $\geq$ 18
The solution set is {n|n $\geq$ 18} , or [18, $\infty$) in interval notation.