Question 555211


{{{-9(x-2)>-4x+20}}} Start with the given inequality.



{{{-9x+18>-4x+20}}} Distribute.



{{{-9x>-4x+20-18}}} Subtract {{{18}}} from both sides.



{{{-9x+4x>20-18}}} Add {{{4x}}} to both sides.



{{{-5x>20-18}}} Combine like terms on the left side.



{{{-5x>2}}} Combine like terms on the right side.



{{{x<(2)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<-2/5}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{x<-2/5}}} 



So the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x<-\frac{2}{5}\right\}]



If you need more help, email me at <a href="mailto:jim_thompson5910@hotmail.com">jim_thompson5910@hotmail.com</a>


Also, please consider visiting my website: <a href="http://www.freewebs.com/jimthompson5910/home.html">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Thank you


Jim