Linear equation and linear inequalities

Question

A company G charges its customers a flat fee of 5 dollars to stream their first 8 movies per month an 75 cents for each additional movie streamed within the same one month period.Company H charges its customers a flat fee of 7 dollars to stream their first 10 movies per month and 60 cents for each additional movie streamed within the same month.What is the maximum number of movies a customer can stream in a one month period and save money using company G instead of company H?

Answer 1

0.75(m - 8) + 5 < 0.6(m - 10) + 7

0.75m - 6 + 5 < 0.6m - 6 + 7

0.75m - 1 < 0.6m + 1

0.15m < 2

m < 13.3

 

I can watch 13 movies with Company G before I pay more than with Company H.