Question 641774

{{{-5x-4<3(x-3)}}} Start with the given inequality.



{{{-5x-4<3x-9}}} Distribute.



{{{-5x<3x-9+4}}} Add {{{4}}} to both sides.



{{{-5x-3x<-9+4}}} Subtract {{{3x}}} from both sides.



{{{-8x<-9+4}}} Combine like terms on the left side.



{{{-8x<-5}}} Combine like terms on the right side.



{{{x>(-5)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>5/8}}} Reduce.



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Answer:


So the solution is {{{x>5/8}}} 


The answer in set-builder notation is  *[Tex \LARGE \left\{x\|x>\frac{5}{8}\right\}]