Question

Graph the solution set to this inequality.-4(x + 3) < -24Drawing ToolsClick on a tool to begindrawingUndoResetSelectPointOpen PointORay-10Submit

Answer 1

The given inequality is

`-4(x+3)<-2x`

At first, multiply the bracket by -4

`\begin{gathered} -4(x)-4(3)<-2x \\ -4x-12<-2x \end{gathered}`

Now, add 4x to both sides

`\begin{gathered} -4x+4x-12<-2x+4x \\ -12<2x \end{gathered}`

Divide both sides by 2

[tex]\begin{gathered} \frac{-12}{2}<\frac{2x}{2} \\ -6That means x > -6

Let us graph it

The graph so the solution x > -6