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.