Question 214856


{{{5(r-7)+1>6(r+2)-27}}} Start with the given inequality.



{{{5r-35+1>6r+12-27}}} Distribute.



{{{5r-34>6r+12-27}}} Combine like terms on the left side.



{{{5r-34>6r-15}}} Combine like terms on the right side.



{{{5r>6r-15+34}}} Add {{{34}}} to both sides.



{{{5r-6r>-15+34}}} Subtract {{{6r}}} from both sides.



{{{-r>-15+34}}} Combine like terms on the left side.



{{{-r>19}}} Combine like terms on the right side.



{{{r<(19)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{r}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{r<-19}}} Reduce.



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Answer:


So the solution is {{{r<-19}}}