Question 629366


{{{2x+8<5x-4}}} Start with the given inequality.



{{{2x<5x-4-8}}} Subtract {{{8}}} from both sides.



{{{2x-5x<-4-8}}} Subtract {{{5x}}} from both sides.



{{{-3x<-4-8}}} Combine like terms on the left side.



{{{-3x<-12}}} Combine like terms on the right side.



{{{x>(-12)/(-3)}}} Divide both sides by {{{-3}}} 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}}} 


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