Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 > 500 and solved it to find the solution x > 55.25. a) Explain how you know Elena made a mistake based on her solution.

b) Fix Elena’s inequality and explain what each part of the inequality means.