Question 283168


{{{2x+8<-16+8x}}} Start with the given inequality.



{{{2x<-16+8x-8}}} Subtract {{{8}}} from both sides.



{{{2x-8x<-16-8}}} Subtract {{{8x}}} from both sides.



{{{-6x<-16-8}}} Combine like terms on the left side.



{{{-6x<-24}}} Combine like terms on the right side.



{{{x>(-24)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>4}}} Reduce.



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Answer:


So the solution is {{{x>4}}}