Answer:
[tex]x>-5[/tex]
The solution graph is also attached below. On the solution graph, the value will be:
Step-by-step explanation:
Given the expression
[tex]-4\left(x\:+\:3\right)\:<\:-2\:-\:2x[/tex]
Expanding
[tex]-4x-12<-2-2x[/tex]
Add 12 to both sides
[tex]-4x-12+12<-2-2x+12[/tex]
[tex]-4x<-2x+10[/tex]
Add 2x to both sides
[tex]-4x+2x<-2x+10+2x[/tex]
[tex]-2x<10[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]
[tex]2x>-10[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]
[tex]x>-5[/tex]
The solution graph is also attached below. On the solution graph, the value will be:
