Question 536608
{{{-14x-7(4-x)<3(2x-15)}}} Start with the given inequality.



{{{-14x-28+7x<6x-45}}} Distribute.



{{{-7x-28<6x-45}}} Combine like terms on the left side.



{{{-7x<6x-45+28}}} Add {{{28}}} to both sides.



{{{-7x-6x<-45+28}}} Subtract {{{6x}}} from both sides.



{{{-13x<-45+28}}} Combine like terms on the left side.



{{{-13x<-17}}} Combine like terms on the right side.



{{{x>(-17)/(-13)}}} Divide both sides by {{{-13}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>17/13}}} Reduce.



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Answer:


So the solution is {{{x>17/13}}} 



And the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x>\frac{17}{13}\right\}]



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