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} (3z)/(3)<-(6)/(3) \\ z<-2 \end{gathered}`