SOLUTION: 5(r-7)+1>6(r+2)-27

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Question 214856: 5(r-7)+1>6(r+2)-27
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5%28r-7%29%2B1%3E6%28r%2B2%29-27 Start with the given inequality.


5r-35%2B1%3E6r%2B12-27 Distribute.


5r-34%3E6r%2B12-27 Combine like terms on the left side.


5r-34%3E6r-15 Combine like terms on the right side.


5r%3E6r-15%2B34 Add 34 to both sides.


5r-6r%3E-15%2B34 Subtract 6r from both sides.


-r%3E-15%2B34 Combine like terms on the left side.


-r%3E19 Combine like terms on the right side.


r%3C%2819%29%2F%28-1%29 Divide both sides by -1 to isolate r. note: Remember, the inequality sign flips when we divide both sides by a negative number.


r%3C-19 Reduce.


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Answer:

So the solution is r%3C-19