Question 537142


{{{-3(2x-4)<4(x+2)}}} Start with the given inequality.



{{{-6x+12<4x+8}}} Distribute.



{{{-6x<4x+8-12}}} Subtract {{{12}}} from both sides.



{{{-6x-4x<8-12}}} Subtract {{{4x}}} from both sides.



{{{-10x<8-12}}} Combine like terms on the left side.



{{{-10x<-4}}} Combine like terms on the right side.



{{{x>(-4)/(-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>2/5}}} Reduce.



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Answer:


So the solution is {{{x>2/5}}} 



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