Answer:
The inequality to solve the question is;
![12+6.25x\ge15+5.50x](https://img.qammunity.org/2023/formulas/mathematics/college/idbnswsa9eqqn25r0e8uvrtpcjobszc0kk.png)
Step-by-step explanation:
Let x represent the number of hours.
Given;
Deborah charges $15 plus I $5.50 per hour
![15+5.50x](https://img.qammunity.org/2023/formulas/mathematics/college/184gbzvvg79mnfusr4v78fejyqfh1al6lt.png)
Aiden charges $12 plus $6.25 per hour to mow lawns
![12+6.25x](https://img.qammunity.org/2023/formulas/mathematics/college/lo4qjtjg5xtsaodufxr9uoc6fx0401y1ct.png)
The situation for Aiden's charge to be greater than or equal to Deborah's charge is given as;
![12+6.25x\ge15+5.50x](https://img.qammunity.org/2023/formulas/mathematics/college/idbnswsa9eqqn25r0e8uvrtpcjobszc0kk.png)
Therefore, the inequality to solve the question is;
![12+6.25x\ge15+5.50x](https://img.qammunity.org/2023/formulas/mathematics/college/idbnswsa9eqqn25r0e8uvrtpcjobszc0kk.png)