Question

What is the solution for the inequality -4(x+3)<-2-2x?

Answer 1

Hello!

Answer:

`\boxed{X>-5}\checkmark`

The answer should have negative sign.

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

`\boxed{x>-5}`, which is our correct answer.

Hope this helps you!

Have a nice day! :)

Thank you!

-Charlie