Question 640988


{{{-4x+5<5x+9}}} Start with the given inequality.



{{{-4x<5x+9-5}}} Subtract {{{5}}} from both sides.



{{{-4x-5x<9-5}}} Subtract {{{5x}}} from both sides.



{{{-9x<9-5}}} Combine like terms on the left side.



{{{-9x<4}}} Combine like terms on the right side.



{{{x>(4)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-4/9}}} Reduce.



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Answer:


So the solution is {{{x>-4/9}}}