Question

Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10.5 minutes. The inequality 10.5 + x < 33 represents the situation. Solve the inequality. How is the solution interpreted in the context of the problem? x < 22.5; Sam has a maximum of 22.5 minutes left to finish running. x < 22.5; Sam has fewer than 22.5 minutes left to finish running. x > 43.5; Sam has at least 43.5 minutes left to finish running. x < 43.5; Sam has no more than 43.5 minutes left to finish running.

Answer 1

B. x < 22.5; Sam has fewer than 22.5 minutes left to finish running.

Answer 2

For this case we have the following inequality:

`10.5 + x \ \textless \ 33`
From here, we define the variable x.
x: number of minutes remaining to finish the race.
From here, we clear the value of x.
We have then:

`x \ \textless \ 33-10.5`

`x \ \textless \ 22.5`
Therefore, Samuel has less than 22.5 minutes to finish the race in the estimated time.
Answer:
x < 22.5; Sam has fewer than 22.5 minutes left to finish running.