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.

$\begin{gathered} \frac{8x}{8}<-\frac{32}{8} \\ x<-4 \end{gathered}$

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