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# Inequality

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Jeri finds a pile of money with at least $200. If she puts$80 of the pile in her left pocket, gives away $$1/5$$ 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 $$1/5$$ 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.)

May 14, 2022

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We need to list all the inequalities and solve the system of inequalities.

Let \$x be the amount of the original pile of money.

Then $$\begin{cases}x \geq 200\\80 + \dfrac{4(x - 80)}5 > \dfrac{4x}5\end{cases}$$.

Now it is your turn to solve each inequality and find the range of values of x so that both inequalities are satisfied.

May 14, 2022