Question 535814


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



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



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



{{{-x<6-3}}} Combine like terms on the left side.



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



{{{x>(3)/(-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>-3}}} Reduce.



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Answer:


So the solution is {{{x>-3}}}