Question 375114


{{{2x+9>6x+11}}} Start with the given inequality.



{{{2x>6x+11-9}}} Subtract {{{9}}} from both sides.



{{{2x-6x>11-9}}} Subtract {{{6x}}} from both sides.



{{{-4x>11-9}}} Combine like terms on the left side.



{{{-4x>2}}} Combine like terms on the right side.



{{{x<(2)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<-1/2}}} Reduce.



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Answer:


So the solution is {{{x<-1/2}}} 



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