Given:
For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall.
To find:
The inequality that describes all the heights that are eligible to ride.
Solution:
Let h represents the heights that are eligible to ride.
For the kiddie teacup ride at a carnival a person needs to be over 36 inches. It means, height should be greater than 36 inches.
[tex]h>36[/tex] ...(i)
For the kiddie teacup ride at a carnival a person needs to be at most 60 inches tall.
[tex]h\leq 60[/tex] ...(ii)
Using (i) and (ii), we get
[tex]36<h\leq 60[/tex]
Therefore, the required inequality is [tex]36<h\leq 60[/tex].