Hello!
Answer:
[tex]\boxed{X>-5}\checkmark[/tex]
The answer should have negative sign.
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
First, expand.
-4(x+3)=-4x-12
-4x-12<-2-2x
Then add by 12 both sides of an equation.
-4x-12+12<-2-2x+12
Simplify.
-4x<-2x+10
You add by 2x both sides of an equation.
-4x+2x<-2x+10+2x
Simplify.
-2x<10
Multiply by -1 both sides of an equation with reverse inequality.
(-2x)(-1)>10(-1)
Simplify.
2x>-10
Then you divide by 2 both sides of an equation.
2x/2>-10/2
Finally, simplify and solve to find this answer.
-10/2=-5
[tex]\boxed{x>-5}[/tex], which is our correct answer.
Hope this helps you!
Have a nice day! :)
Thank you!
-Charlie
