SOLUTION: 1/3x-2<=2/3x-6 I know the answer is x>=12 and after trying over and over i dont know the steps that were taken to get that answer

Algebra ->  Inequalities -> SOLUTION: 1/3x-2<=2/3x-6 I know the answer is x>=12 and after trying over and over i dont know the steps that were taken to get that answer      Log On


   

Question 375675: 1/3x-2<=2/3x-6
I know the answer is x>=12 and after trying over and over i dont know the steps that were taken to get that answer
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F3%29x-2%3C=%282%2F3%29x-6 Start with the given inequality.


Multiply EVERY term by the LCD 3 to clear any fractions.


x-6%3C=2x-18 Distribute and multiply.


x%3C=2x-18%2B6 Add 6 to both sides.


x-2x%3C=-18%2B6 Subtract 2x from both sides.


-x%3C=-18%2B6 Combine like terms on the left side.


-x%3C=-12 Combine like terms on the right side.


x%3E=%28-12%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=12 Reduce.


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Answer:

So the solution is x%3E=12


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim