You have the right idea and you are close to the correct answer. However that's not what your teacher is looking for in terms of steps.
The starting inequality is [tex]b + 8 \ge 20[/tex]
She starts off selling 8 buckets. Then she sells b more to get a total of b+8
This total must be 20 or larger which is why I set b+8 greater than or equal to 20
Solve for b by subtracting 8 from both sides
[tex]b + 8 \ge 20[/tex]
[tex]b + 8-8 \ge 20-8[/tex]
[tex]b \ge 12[/tex]
So she needs to sell at least 12 more buckets to reach her goal
If you graphed this on a number line, then you would draw a closed circle at 12. Then shade to the right of the close circle.
