Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected178 more cans than Shane did. Write an inequality to determine the number of cans, S, that Shane could have collected.

Let number of cans collected by Shane = S

Number of cans collected by Abha=S+178

As, it is given that, Abha collected 178 more cans than Shane did.

Also, the statement about inequality is

Both Shane and Abha have to collect no less than 2000 cans for recycling.

Writing the statement in terms of inequality

S + S+178 ≥ 2000

2 S ≥ 2000 - 178

2 S ≥ 1822

Dividing both sides by 2, we get

S≥ 911

So, Shane must have collected At least 911 cans.

s+s+178 is greater than or equal to 2000

s is greater than or equal to 911