We have the next given information:
- Laura wants to rent a boat and spend less than $75.
-The boat costs $7 per hour.
- Laura has a discount coupon for $9 off.
The symbol for "less than" is given by "<"
Let us set t for the number of hours. Then we can write the next inequality:
![7t-9<75](https://img.qammunity.org/2023/formulas/mathematics/college/jot0uwkqia4v0d5x2a756qag8s6qlqrngi.png)
Where the t variable depends on the number of hours. and we subtract the discount coupon.
Now, we need to solve it for t:
![\begin{gathered} 7t-9<75 \\ Solve\text{ for t:} \\ 7t<75+9 \\ 7t<84 \\ t<12 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7b3sa0jk0exvl903uwzkqe37a2jblgdv07.png)
She could rent the boat for less than 12 hours.
The answer as an inequality is t<12.