Question

How do I solve the inequality 8x-4< -36

Answer 1

The given inequality is

`8x-4<-36`

First, we add 4 on each side.

`\begin{gathered} 8x-4+4<-36+4 \\ 8x<-32 \end{gathered}`

Then, we divide the inequality by 8.

`\begin{gathered} (8x)/(8)<-(32)/(8) \\ x<-4 \end{gathered}`

Hence, the solution set is all real numbers less than -4.