Question 362985

{{{8c-(c-5)>c+27}}} Start with the given inequality.



{{{8c-c+5>c+27}}} Distribute.



{{{7c+5>c+27}}} Combine like terms on the left side.



{{{7c>c+27-5}}} Subtract {{{5}}} from both sides.



{{{7c-c>27-5}}} Subtract {{{c}}} from both sides.



{{{6c>27-5}}} Combine like terms on the left side.



{{{6c>22}}} Combine like terms on the right side.



{{{c>(22)/(6)}}} Divide both sides by {{{6}}} to isolate {{{c}}}. 



{{{c>11/3}}} Reduce.



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Answer:


So the solution is {{{c>11/3}}} 



Which approximates to {{{c>3.667}}} 



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