In store S, the cost per game is $2.50. So if you rent "x" amount of games, you pay:
[tex]2.50x[/tex]
just of the games. To that, you need to add 5.00 for the monthly fee. So the total cost for a month in store S is:
[tex]2.50x+5.00[/tex]
In store T, the cost per game is $5.00 and you don't pay any fees. So the monthly cost in store T is the cost for "x" amount of games (each at a cost of $5.00):
[tex]5.00x[/tex]
To represent that the monthly cost at store S is less than the monthly cost at store T we use the symbol "<" as follows:
[tex]\text{Store S < Store T}[/tex]
Using this inequality with the monthly cost that we just found:
[tex]2.50x+5<5.00x[/tex]
Answer:
[tex]2.50x+5<5.00x[/tex]
