The given inequality is
[tex]-4(x+3)<-2x[/tex]
At first, multiply the bracket by -4
[tex]\begin{gathered} -4(x)-4(3)<-2x \\ -4x-12<-2x \end{gathered}[/tex]
Now, add 4x to both sides
[tex]\begin{gathered} -4x+4x-12<-2x+4x \\ -12<2x \end{gathered}[/tex]
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
