Julia has a farm on a rectangular piece of land that is $150$ meters long. This area is divided into two parts: A square area where she lives (whose side is the same as the width of the farm), and the remaining area where she grows artichokes.
Every week, Julia spends $\$8$ per square meter on the area where she lives, and earns $\$4$ per square meter from the area where she grows artichokes. This way, she manages to save some money every week.

**Write an inequality that models the situation. Use $w$ to represent the width of Julia's farm.**
[[☃ expression 1]]