Question 628350


{{{8-9(2x+4)<=-2x+13}}} Start with the given inequality.



{{{8-18x-36<=-2x+13}}} Distribute.



{{{-18x-28<=-2x+13}}} Combine like terms on the left side.



{{{-18x<=-2x+13+28}}} Add {{{28}}} to both sides.



{{{-18x+2x<=13+28}}} Add {{{2x}}} to both sides.



{{{-16x<=13+28}}} Combine like terms on the left side.



{{{-16x<=41}}} Combine like terms on the right side.



{{{x>=(41)/(-16)}}} Divide both sides by {{{-16}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>=-41/16}}} Reduce.



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Answer:


So the solution is {{{x>=-41/16}}} 


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