To find out how much money Lucy has left to spend after buying the shirt, you can start with the total amount of money she has, which is $20, and subtract the cost of the shirt, which is $8.
Let \( x \) be the amount of money Lucy has left after buying the shirt. The inequality can be expressed as:
\[ x \geq 20 - 8 \]
Simplifying the right side gives:
\[ x \geq 12 \]
This inequality tells us that after buying the shirt, Lucy has at least $12 left to spend.
So the inequality \( x \geq 12 \) can be used to find how much money she has left to spend.