Question

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?

Answer 1

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