The town you live in has decided to limit the amount of trash thrown out each month. Your town, which has $3280$ homes, has asked each household to keep track of how many pounds of trash they produce during a month. In addition, the town council has found that other sources of trash, such as local businesses, combine to create $1500$ lbs of trash each month. If the town has a goal of creating less than $50\text{,}000$ lbs of trash, how much trash should a household be limited to? Write an inequality for this situation and solve it.