Question 568715


{{{-2r-7>=-9-r}}} Start with the given inequality.



{{{-2r>=-9-r+7}}} Add {{{7}}} to both sides.



{{{-2r+r>=-9+7}}} Add {{{r}}} to both sides.



{{{-r>=-9+7}}} Combine like terms on the left side.



{{{-r>=-2}}} Combine like terms on the right side.



{{{r<=(-2)/(-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<=2}}} Reduce.



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Answer:


So the solution is {{{r<=2}}} 


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