SOLUTION: solve 4(r-8)+4>5(r+2)-27

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Question 605041: solve 4(r-8)+4>5(r+2)-27
Answer by jim_thompson5910(35256) About Me  (Show Source):
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4%28r-8%29%2B4%3E5%28r%2B2%29-27 Start with the given inequality.


4r-32%2B4%3E5r%2B10-27 Distribute.


4r-28%3E5r%2B10-27 Combine like terms on the left side.


4r-28%3E5r-17 Combine like terms on the right side.


4r%3E5r-17%2B28 Add 28 to both sides.


4r-5r%3E-17%2B28 Subtract 5r from both sides.


-r%3E-17%2B28 Combine like terms on the left side.


-r%3E11 Combine like terms on the right side.


r%3C%2811%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-11 Reduce.


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Answer:

So the solution is r%3C-11


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