To represent the inequality, let us define some variables first:
lets say 'w' represents the greatest number of weekly withdrawals:
Elise has budget of $800 in her checking account:
If she withdraws $50 each week then in 'w' number of weeks she has withdrawn
dollars.
The amount left in her checking account is given by:
![800-50* x](https://img.qammunity.org/2019/formulas/mathematics/high-school/8q5pokyxfqv0svtv0avc3gt2n5uho8gtoi.png)
Now, she needs to have at least $200 available at the end of summer.
Which means:
![800-50* x\geq 200](https://img.qammunity.org/2019/formulas/mathematics/high-school/umkrmu3f1eypxg70u4go5bfs3phaahji7d.png)
The inequality
can be used to determine the greatest number of weekly withdrawals.