SOLUTION: Solve and graph: -2(-3x+4)+18>6(x+3)

Algebra ->  Rational-functions -> SOLUTION: Solve and graph: -2(-3x+4)+18>6(x+3)      Log On


   

Question 782256: Solve and graph: -2(-3x+4)+18>6(x+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-2%28-3x%2B4%29%2B18%3E6%28x%2B3%29 Start with the given inequality.


6x-8%2B18%3E6x%2B18 Distribute.


6x%2B10%3E6x%2B18 Combine like terms on the left side.


6x%3E6x%2B18-10 Subtract 10 from both sides.


6x-6x%3E18-10 Subtract 6x from both sides.


0x%3E18-10 Combine like terms on the left side.


0x%3E8 Combine like terms on the right side.


0+%3E+8 Simplify


Since that last inequality is NEVER true and is ALWAYS false, this means that there are NO solutions.