Question 539549


{{{-6(w+1)<2(w+5)}}} Start with the given inequality.



{{{-6w-6<2w+10}}} Distribute.



{{{-6w<2w+10+6}}} Add {{{6}}} to both sides.



{{{-6w-2w<10+6}}} Subtract {{{2w}}} from both sides.



{{{-8w<10+6}}} Combine like terms on the left side.



{{{-8w<16}}} Combine like terms on the right side.



{{{w>(16)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{w}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{w>-2}}} Reduce.



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Answer:


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



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