Question 709223


{{{8-(5x-2)>=-6(x+1)-6}}} Start with the given inequality.



{{{8-5x+2>=-6x-6-6}}} Distribute.



{{{-5x+10>=-6x-6-6}}} Combine like terms on the left side.



{{{-5x+10>=-6x-12}}} Combine like terms on the right side.



{{{-5x>=-6x-12-10}}} Subtract {{{10}}} from both sides.



{{{-5x+6x>=-12-10}}} Add {{{6x}}} to both sides.



{{{x>=-12-10}}} Combine like terms on the left side.



{{{x>=-22}}} Combine like terms on the right side.



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Answer:


So the solution is {{{x>=-22}}} 



The answer in interval notation is   <font size="8">[</font>*[Tex \LARGE -22,\infty]<font size="8">)</font>