Question 640654


{{{3-4x<5+6x}}} Start with the given inequality.



{{{-4x<5+6x-3}}} Subtract {{{3}}} from both sides.



{{{-4x-6x<5-3}}} Subtract {{{6x}}} from both sides.



{{{-10x<5-3}}} Combine like terms on the left side.



{{{-10x<2}}} Combine like terms on the right side.



{{{x>(2)/(-10)}}} Divide both sides by {{{-10}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-1/5}}} Reduce.



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Answer:


So the solution is {{{x>-1/5}}}