SOLUTION: solve, write your solution using set builder notation, please show all of your work -11x-24<9-2(5x-9)

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Question 503535: solve, write your solution using set builder notation, please show all of your work
-11x-24<9-2(5x-9)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-11x-24%3C9-2%285x-9%29 Start with the given inequality.


-11x-24%3C9-10x%2B18 Distribute.


-11x-24%3C-10x%2B27 Combine like terms on the right side.


-11x%3C-10x%2B27%2B24 Add 24 to both sides.


-11x%2B10x%3C27%2B24 Add 10x to both sides.


-x%3C27%2B24 Combine like terms on the left side.


-x%3C51 Combine like terms on the right side.


x%3E%2851%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-51 Reduce.


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Answer:

So the solution is x%3E-51

So the solution in set-builder notation is