Question 146902
{{{-2x>1/9}}} Start with the given inequality.



{{{9(-2x)>cross(9)(1/cross(9))}}} Multiply both sides by {{{9}}}.



{{{-18x>1}}} Multiply.



{{{x<(1)/(-18)}}} Divide both sides by {{{-18}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<-1/18}}} Reduce.



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Answer:


So the answer is {{{x<-1/18}}} 



Which approximates to {{{x<-0.056}}} 



So the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x<-\frac{1}{18}\right\}]