SOLUTION: Write your solution using set builder notation -2(10x-9)-17x<12(6-x)

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Question 632456: Write your solution using set builder notation
-2(10x-9)-17x<12(6-x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-2%2810x-9%29-17x%3C12%286-x%29 Start with the given inequality.


-20x%2B18-17x%3C72-12x Distribute.


-37x%2B18%3C72-12x Combine like terms on the left side.


-37x%3C72-12x-18 Subtract 18 from both sides.


-37x%2B12x%3C72-18 Add 12x to both sides.


-25x%3C72-18 Combine like terms on the left side.


-25x%3C54 Combine like terms on the right side.


x%3E%2854%29%2F%28-25%29 Divide both sides by -25 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-54%2F25 Reduce.


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Answer:

So the solution is x%3E-54%2F25


So the answer in set-builder notation is

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