A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. Th
e dyers have to make at least 22 rugs, and they must do it in less than 240 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 22 to create a system that represents this situation? A,) 8x + 12y > 240
B,) 12x + 8y > 240
C.) 8x + 12y < 240
D.) 12x + 8y < 240
Since the rugs have to be made in LESS THAN 240 hours, that automatically cancels out C) and D). Then you just have to plug in the number of small rugs into X and the number of medium rugs into Y.
it'll be a graph like this. the blue line is y<-x+2 and you would shade everything below this line because it's less than. the green is y>x-3 so you would shade everything above this line because it is greater than.
