Respuesta :

Answer:

[tex]{\huge \boxed{X<-2}}[/tex]

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

Expand.

4(1-3x)-14=-12x-10

4(2x+3)-9x=-x+12

-12x-10>-x+12

Add by 10 from both sides of equation.

-12x-10+10>-x+12+10

Simplify.

-12x>-x+22

Add by x from both sides of equation.

-12x+x>-x+22+x

Simplify.

-11x>22

Multiply by -1 from both sides of equation.

(-11x)(-1)<22(-1)

Simplify.

11x<-22

Divide by 11 from both sides of equation.

11x/11<-22/11

Simplify, to find the answer.

-22/11=-2

x<-2 is the correct answer.

I hope this helps you, and have a wonderful day!