156k views
2 votes
I need help

Please solve
4(1 –3x) – 14 > 4(2x + 3) – 9x

Solve the inequality

User Yun
by
7.5k points

1 Answer

3 votes

Answer:


{\huge \boxed{X<-2}}

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!

User Alex Ackerman
by
8.0k points