Question

List the steps you would take to solve the inequality$\mathbf{-}\mathbf{5}\mathbf{x}\mathbf{+}\mathbf{12}\mathbf{<}\mathbf{-}\mathbf{8}$.

Short answer

First, subtract 12 from both sides.

Second, divide both sides by -5.

Step-by-step solution

Step-1-Sovle the inequality

$\begin{array}{c}-5x+12<-8\\ -5x+12-12<-8-12\\ -5x<-20\\ x>\frac{-20}{-5}\\ x>4\end{array}$

Step-2- List down the steps

First, subtract 12 from both sides.

Second, divide both sides by -5.