Question 913538


{{{-x<-x+7(x-2)}}} Start with the given inequality.



{{{-x<-x+7x-14}}} Distribute.



{{{-x<6x-14}}} Combine like terms on the right side.



{{{-x-6x<-14}}} Subtract {{{6x}}} from both sides.



{{{-7x<-14}}} Combine like terms on the left side.



{{{x>(-14)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>2}}} Reduce.



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Answer:


So the solution is {{{x>2}}} 


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Jim