Let represent the number of hours that Louie works as a busboy.

Let represent the number of hours he works as a clerk.

Louie has two jobs and can work no more than total hours per week.

Hence the inequality is .

He wants to earn at least per week.

Hence the inequality is .

The two inequalities are and .

Graph:

Graph the system of inequalities are and :

Observe the graph:

The region shaded in brown color is the required solution set.

Graph of the inequalities and is \ \

.