(30 POINTS MULTIPLE CHOICE + BRAINLIEST ANSWER)
A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15 rugs, and they must do it in less than 60 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation?

a. 2x + 3y < 60
b. 3x + 2y < 60
c. 2x + 3y > 60
d. 3x + 2y > 60