Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did. Write an inequality to determine the number of cans, S, that Shane could have collected.

What is the solution set of the inequality?

Shane=x

Abha=y

x+y>=2000

x-y=178 Which leads to x=178+y #1

hence by substitution in the inequality

178+2y>=2000

2y>=2000-178

2y>=1822

y>=911 in #1

x>=178+911

x>=1089

Solutions x>=1089 & y>=911

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.