Explanation
Step 1
Let x represents the numbers of rides you can take
so,
Admission to the fair costs $7.75. Each ride costs you $0.50. You have $15 to spend at the fair including admission
[tex]\begin{gathered} \text{total spent=7.75+0.5x} \\ \end{gathered}[/tex]but, you only have $15. so the total spent must be equal or less than $15
[tex]\begin{gathered} \text{total spent}\leq15 \\ \text{replace} \\ 7.75+0.5x\leq15\text{ Inequality} \end{gathered}[/tex]i hope this helps you