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)   (Show Source): You can put this solution on YOUR website!

Start with the given inequality.


Distribute.


Combine like terms on the left side.


Combine like terms on the right side.


Subtract from both sides.


Subtract from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.


Reduce.


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Answer:

So the solution is which looks like in set builder notation.

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