Question 527018


{{{-8r+8<-2(3r-9)}}} Start with the given inequality.



{{{-8r+8<-6r+18}}} Distribute.



{{{-8r<-6r+18-8}}} Subtract {{{8}}} from both sides.



{{{-8r+6r<18-8}}} Add {{{6r}}} to both sides.



{{{-2r<18-8}}} Combine like terms on the left side.



{{{-2r<10}}} Combine like terms on the right side.



{{{r>(10)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{r}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{r>-5}}} Reduce.



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Answer:


So the solution is {{{r>-5}}} 




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