What is the solution of
How is solving an inequality like solving an equation?
You isolate the variable by doing the same things to each side of the inequality.
Movie Rentals A movie rental company offers two subscription plans. You can pay $36 a month and rent as many movies as desired, or you can pay $15 a month and $1.50 to rent each movie. How many movies must you rent in a month for the first plan to cost less than the second plan?
How will an inequality help answer this question?
The cost of the first plan must be less than the cost of the second plan, so an inequality can be used to determine the number of movies.
Think | Write |
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Assign a variable. | Let n = the number of movie rentals in one month. |
Write an expression for the cost of each plan for a month. | first plan: 36 second plan: 15 + 1.5n |
The first plan must cost less than the second plan. |
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Solve. |
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Write the answer in words. | You must rent more than 14 movies in a month for the first plan to cost less. |