Question 908805


{{{-(x-4)<-16}}} Start with the given inequality.



{{{-x+4<-16}}} Distribute.



{{{-x<-16-4}}} Subtract {{{4}}} from both sides.



{{{-x<-20}}} Combine like terms on the right side.



{{{x>(-20)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>20}}} Reduce.



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Answer:


So the solution is {{{x>20}}}