Jane wants to rent a boat and spend less than $75.
The boat costs $8 per hour, and Jane has a discount coupon for $5 off
Let t for the number of hours
Then we can write the following inequality
[tex]8t-5<75[/tex]The discount coupon is being subtracted since it was off.
Let us solve the inequality for t
Step 1: Add 5 to both sides of the inequality
[tex]\begin{gathered} 8t-5+5<75+5 \\ 8t<80 \end{gathered}[/tex]
Step 2:
Divide both sides of the inequality by 8
[tex]\begin{gathered} \frac{8t}{8}<\frac{80}{8} \\ t<10 \end{gathered}[/tex]This means that Jane could rent the boat for less than 10 hours
[tex]t<10[/tex]