We will give the solution to the following problem:

'The initial cost to rent a bike is ​$6. Each hour the bike is rented costs ​$2.00. Liz is going to rent a bike and can spend at most ​$14.00. Write and solve an inequality to find how long she can rent the bike.'

Let 'x' represent the hours that Liz can rent the bike.

6 + 2x <= 14

........

click here to see the inequality solved for x

........

x <= 4 hr

Liz can rent the bike 4 hours at most.