Jeri finds a pile of money with at least . If she puts of the pile in her left pocket, gives away of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer as an interval.)
Let d be the number of dollars that Jeri finds. Then solving the inequalities, you get d >= 200 and d < 575, so the answer is [200,575).