SOLUTION: Solve and graph the solution set. 3(x-4)>7x-9. I do not know to solve this problem at all. Your help will be greatly appreciated thank you so much and God bless you to continue h

Algebra ->  Inequalities -> SOLUTION: Solve and graph the solution set. 3(x-4)>7x-9. I do not know to solve this problem at all. Your help will be greatly appreciated thank you so much and God bless you to continue h      Log On


   

Question 79218: Solve and graph the solution set. 3(x-4)>7x-9. I do not know to solve this problem at all. Your help will be greatly appreciated thank you so much and God bless you to continue helping all of us.
Answer by sprolden(40) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and graph the solution set. 3(x-4)>7x-9.
1- First, distribute the 3 by multiplying 3 times all terms in parenthesis.
3(x) - 3(4) > 3x-12
So, 3x-12>7x-9

2- Begin solving for x. Subtract 3x from both sides of the equation.
(3x-3x) -12>(7x-3x) -9
-12>4x-9
3- Add 9 to both sides of the equation.
-12+9>4x-9+9
-3>4x
x>-3/4
4- The graph of x>-3/4 (-0.75)looks like the following:
+graph%28+100%2C+80%2C+-1%2C+1%2C+-1%2C+1%2C+x+%3E+-0.75%29+