First, we divide by 13 both sides of the inequality to get c, and since we are dividing by a positive number, then the orientation of the sign stays the same:
[tex]\begin{gathered} (13c<-169)(\frac{1}{13}) \\ \Rightarrow\frac{13c}{13}<-\frac{169}{13}=-13 \\ \Rightarrow c<-13 \end{gathered}[/tex]
Therefore, x < -13 and the solution set would look like this:
Then, c will take all the values that are less than -13 and will never be equal to -13
