Question 202030


{{{9-x>2x+3}}} Start with the given inequality.



{{{-x>2x+3-9}}} Subtract {{{9}}} from both sides.



{{{-x-2x>3-9}}} Subtract {{{2x}}} from both sides.



{{{-3x>3-9}}} Combine like terms on the left side.



{{{-3x>-6}}} Combine like terms on the right side.



{{{x<(-6)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<2}}} Reduce.



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Answer:


So the solution is {{{x<2}}}