Question 79218
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( 100, 80, -1, 1, -1, 1, x > -0.75) }}}