To solve the inequality we subtract 7q from both sides of the inequality:
[tex]\begin{gathered} 13q-7q<7q-29-7q, \\ 6q<-29. \end{gathered}[/tex]Dividing by 6 we get:
[tex]\begin{gathered} \frac{6q}{6}<-\frac{29}{6}, \\ q<-\frac{29}{6}\text{.} \end{gathered}[/tex]Answer:
[tex](-\infty,\text{ -}\frac{29}{6}).[/tex]