SOLUTION: Please help on: -2.8X + 8.4 < -14X - 2.8. I am trying but I think I'm doing this problem wrong.

Algebra ->  College  -> Linear Algebra -> SOLUTION: Please help on: -2.8X + 8.4 < -14X - 2.8. I am trying but I think I'm doing this problem wrong.       Log On


   

Question 693188: Please help on: -2.8X + 8.4 < -14X - 2.8. I am trying but I think I'm doing this problem wrong.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-2.8x%2B8.4%3C-14x-2.8 Start with the given inequality.


10%28-2.8x%2B8.4%29%3C10%28-14x-2.8%29 Multiply both sides by 10 to clear out the decimals.


-28x%2B84%3C-140x-28 Distribute and multiply.


-28x%3C-140x-28-84 Subtract 84 from both sides.


-28x%2B140x%3C-28-84 Add 140x to both sides.


112x%3C-28-84 Combine like terms on the left side.


112x%3C-112 Combine like terms on the right side.


x%3C%28-112%29%2F%28112%29 Divide both sides by 112 to isolate x.


x%3C-1 Reduce.


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

Answer:

So the solution is x%3C-1