SOLUTION: use set builder notation to describe the complete solution set. 25-(3x+7)<(line under it)2(x+3)+x

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Question 251537: use set builder notation to describe the complete solution set.
25-(3x+7)<(line under it)2(x+3)+x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

25-%283x%2B7%29%3C=2%28x%2B3%29%2Bx Start with the given inequality.


25-3x-7%3C=2x%2B6%2Bx Distribute.


-3x%2B18%3C=2x%2B6%2Bx Combine like terms on the left side.


-3x%2B18%3C=3x%2B6 Combine like terms on the right side.


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


-3x-3x%3C=6-18 Subtract 3x from both sides.


-6x%3C=6-18 Combine like terms on the left side.


-6x%3C=-12 Combine like terms on the right side.


x%3E=%28-12%29%2F%28-6%29 Divide both sides by -6 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=2 Reduce.


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Answer:

So the solution is x%3E=2 which looks like in set builder notation.