Answer:
[tex]2S+178\ge 2,000,[/tex]
[tex][911,\infty).[/tex]
Step-by-step explanation:
Let S be the number of cans that Shane had collected.
Abha had collected 178 more cans than Shane did, then Abha had collected S+178 cans.
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling, this means that
[tex]S+S+178\ge 2,000,\\ \\2S+178\ge 2,000.[/tex]
Solve this inequality:
1. Divide it by 2:
[tex]S+89\ge 1,000.[/tex]
2. Now
[tex]S\ge 1,000-89,\\ \\S\ge 911.[/tex]
The solution set is [tex][911,\infty).[/tex]
