Question

solve inequality 3z-1<-7

Answer 1

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).

$3z-1<-7$

First, we add +1 on each side

$\begin{gathered} 3z-1+1<-7+1 \\ 3z<-6 \end{gathered}$

Now we divide both sides by 3:

$\begin{gathered} \frac{3z}{3}<-\frac{6}{3} \\ z<-2 \end{gathered}$