Answer is Baton Rouge
Step by step
First I graphed the inequalities and found the area that was the solution
Then I plotted the points of the towns that were in that solution
Hammond and Lafayette were located on the lines of the solution
Because these lines were dashed lines, meaning more than or less than, the solution did not include the dashed line, so those cities were not in the solution.
Baton Rouge was inside the solution
I attached a graph for you to see how this all played out