Question 545547


{{{3d-2(8d-9)>-2d-4}}} Start with the given inequality.



{{{3d-16d+18>-2d-4}}} Distribute.



{{{-13d+18>-2d-4}}} Combine like terms on the left side.



{{{-13d>-2d-4-18}}} Subtract {{{18}}} from both sides.



{{{-13d+2d>-4-18}}} Add {{{2d}}} to both sides.



{{{-11d>-4-18}}} Combine like terms on the left side.



{{{-11d>-22}}} Combine like terms on the right side.



{{{d<(-22)/(-11)}}} Divide both sides by {{{-11}}} to isolate {{{d}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{d<2}}} Reduce.



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Answer:


So the solution is {{{d<2}}}