Graphing Linear Equations and Inequalities · Example 6

Hilaria works two part time jobs to earn enough money to meet her obligations of at least $240 a week. Her job in food service pays $10 an hour and her tutoring job on campus pays $15 an hour. How many hours does Hilaria need to work at each job to earn at least $240?

(a) Let $x$ be the number of hours she works at the job in food service and let $y$ be the number of hours she works tutoring. Write an inequality that would model this situation.
(b) Graph the inequality.
(c) Find three ordered pairs ($x,y$) that would be solutions to the inequality. Then, explain what that means for Hilaria.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Contemporary Mathematics · §5.5 Graphing Linear Equations and Inequalities · Example 6