Question 689054


{{{-2w+6<2w}}} Start with the given inequality.



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



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



{{{-4w<-6}}} Combine like terms on the left side.



{{{w>(-6)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{w}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{w>3/2}}} Reduce.



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


Answer:


So the solution is {{{w>3/2}}} 



The answer in decimal form is {{{w>1.5}}}