Answer:
Answer:
Answer:Option (1) is correct.
Answer:Option (1) is correct.2x + 3y < 60 inequalities can be paired with x + y ≥ 15 to create a system that represents the given situation.
Answer:Option (1) is correct.2x + 3y < 60 inequalities can be paired with x + y ≥ 15 to create a system that represents the given situation.Step-by-step explanation:
Given : A company dyes two sizes of rugs A and B.
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.
we have to find an inequalities can be paired with x + y ≥ 15 to create a system that represents the given situation.
The dyers need to make at least 15 rugs.
Let x equal small rugs and
Let x equal small rugs and y equal medium rugs
This can be represented by the equation x + y ≥ 15
Also, The small rug requires 2 hours for dyeing and the medium-size rug requires 3 hours for dyeing and they must do it in less than 60 hours
Then to dye x small rugs the time taken is 2x
Then to dye x small rugs the time taken is 2xand to dye y medium rugs the time taken is 3y
and total time given to dye is less than 60 hours
This can be represented by the equation 2x + 3y < 60
2x + 3y < 60Thus, Option (1) is correct.
2x + 3y < 60Thus, Option (1) is correct.2x + 3y < 60 inequalities can be paired with x + y ≥ 15 to create a system that represents the given situation.