Answer: z < -2
Step by step solution:
When solving an inequality it is important to maintain the balance of the inequality by performing the same operations on both sides (right and left).
[tex]3z-1<-7[/tex]First, we add +1 on each side
[tex]\begin{gathered} 3z-1+1<-7+1 \\ 3z<-6 \end{gathered}[/tex]Now we divide both sides by 3:
[tex]\begin{gathered} \frac{3z}{3}<-\frac{6}{3} \\ z<-2 \end{gathered}[/tex]