Question 544990


{{{2r+5(3r+1)<=7+3(r-6)-12}}} Start with the given inequality.



{{{2r+15r+5<=7+3r-18-12}}} Distribute.



{{{17r+5<=7+3r-18-12}}} Combine like terms on the left side.



{{{17r+5<=3r-23}}} Combine like terms on the right side.



{{{17r<=3r-23-5}}} Subtract {{{5}}} from both sides.



{{{17r-3r<=-23-5}}} Subtract {{{3r}}} from both sides.



{{{14r<=-23-5}}} Combine like terms on the left side.



{{{14r<=-28}}} Combine like terms on the right side.



{{{r<=(-28)/(14)}}} Divide both sides by {{{14}}} to isolate {{{r}}}. 



{{{r<=-2}}} Reduce.



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Answer:


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



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