SOLUTION: -3(2x-4)<3x+6

Algebra ->  Inequalities -> SOLUTION: -3(2x-4)<3x+6      Log On


   

Question 665168: -3(2x-4)<3x+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-3%282x-4%29%3C3x%2B6 Start with the given inequality.


-6x%2B12%3C3x%2B6 Distribute.


-6x%3C3x%2B6-12 Subtract 12 from both sides.


-6x-3x%3C6-12 Subtract 3x from both sides.


-9x%3C6-12 Combine like terms on the left side.


-9x%3C-6 Combine like terms on the right side.


x%3E%28-6%29%2F%28-9%29 Divide both sides by -9 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E2%2F3 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x%3E2%2F3