SOLUTION: Solve The Inequality. 8c-(c-5)>c+27

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Question 362985: Solve The Inequality. 8c-(c-5)>c+27
Answer by jim_thompson5910(35256) About Me  (Show Source):
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8c-%28c-5%29%3Ec%2B27 Start with the given inequality.


8c-c%2B5%3Ec%2B27 Distribute.


7c%2B5%3Ec%2B27 Combine like terms on the left side.


7c%3Ec%2B27-5 Subtract 5 from both sides.


7c-c%3E27-5 Subtract c from both sides.


6c%3E27-5 Combine like terms on the left side.


6c%3E22 Combine like terms on the right side.


c%3E%2822%29%2F%286%29 Divide both sides by 6 to isolate c.


c%3E11%2F3 Reduce.


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Answer:

So the solution is c%3E11%2F3


Which approximates to c%3E3.667


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Jim