Question 638025


{{{38<4x+3+7-3x}}} Start with the given inequality.



{{{38<x+10}}} Combine like terms on the right side.



{{{0<x+10-38}}} Subtract {{{38}}} from both sides.



{{{-x<10-38}}} Subtract {{{x}}} from both sides.



{{{-x<-28}}} Combine like terms on the right side.



{{{x>(-28)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>28}}} Reduce.



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Answer:


So the solution is {{{x>28}}}