Question 654446


{{{m-2(m+3)<2m}}} Start with the given inequality.



{{{m-2m-6<2m}}} Distribute.



{{{-m-6<2m}}} Combine like terms on the left side.



{{{-m<2m+6}}} Add {{{6}}} to both sides.



{{{-m-2m<6}}} Subtract {{{2m}}} from both sides.



{{{-3m<6}}} Combine like terms on the left side.



{{{m>(6)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{m}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{m>-2}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{m>-2}}} 


The answer in interval notation is then <img src="http://latex.codecogs.com/gif.latex?\Large \left(-2,\infty\right)" title="x" />