Question 930693


{{{-9(x+2)-4<2(3x-1)}}} Start with the given inequality.



{{{-9x-18-4<6x-2}}} Distribute.



{{{-9x-22<6x-2}}} Combine like terms on the left side.



{{{-9x<6x-2+22}}} Add {{{22}}} to both sides.



{{{-9x-6x<-2+22}}} Subtract {{{6x}}} from both sides.



{{{-15x<-2+22}}} Combine like terms on the left side.



{{{-15x<20}}} Combine like terms on the right side.



{{{x>(20)/(-15)}}} Divide both sides by {{{-15}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-4/3}}} Reduce.



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Answer:


So the solution is {{{x>-4/3}}} 



Which approximates to {{{x>-1.333}}} 

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