Shawn is buying towels for his apartment. he finds some green towels that cost $10 each and blue towels that cost $7 each. he wants to buy at least 6 towels but doesn’t want to spend more than $70. write a system of inequalities that represents the situation and then graph the solutions.

define the variables: let x = the number of green towels, let y = the number of blue towels.

inequality 1:

inequality 2:

one possible combination of green and blue towels:

one not possible combination of green and blue towels:

show work on how to get the answers.