If x represents the number of first-run movies
The information can be interpreted as
[tex]52.48+6.29x\le104[/tex]This can be solved as shown below:
[tex]\begin{gathered} 6.29x\le104-52.48 \\ 6.29x\le51.52 \\ x\le\frac{51.52}{6.29} \\ x\le8.19 \\ x\le8 \end{gathered}[/tex]Hence, the number of first-run movies that can be watched is 8
