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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.