SOLUTION: Solve -6(x+5)<-x+11. write solution using set builder notation.

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Question 507923: Solve -6(x+5)<-x+11. write solution using set builder notation.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-6%28x%2B5%29%3C-x%2B11 Start with the given inequality.


-6x-30%3C-x%2B11 Distribute.


-6x%3C-x%2B11%2B30 Add 30 to both sides.


-6x%2Bx%3C11%2B30 Add x to both sides.


-5x%3C11%2B30 Combine like terms on the left side.


-5x%3C41 Combine like terms on the right side.


x%3E%2841%29%2F%28-5%29 Divide both sides by -5 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-41%2F5 Reduce.


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Answer:

So the solution is x%3E-41%2F5

Answer in set-builder notation is