Question 118742


{{{-6r-10<3r-8}}} Start with the given inequality




{{{-6r<3r-8+10}}}Add 10 to both sides



{{{-6r-3r<-8+10}}} Subtract 3r from both sides



{{{-9r<-8+10}}} Combine like terms on the left side



{{{-9r<2}}} Combine like terms on the right side



{{{r>(2)/(-9)}}} Divide both sides by -9 to isolate r  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{r>-2/9}}} Reduce


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Answer:

So our answer is {{{r>-2/9}}}  (which is approximately {{{r>-0.222222222222222}}} in decimal form)