Question 316980


{{{4x+3<6x+7}}} Start with the given inequality.



{{{4x<6x+7-3}}} Subtract {{{3}}} from both sides.



{{{4x-6x<7-3}}} Subtract {{{6x}}} from both sides.



{{{-2x<7-3}}} Combine like terms on the left side.



{{{-2x<4}}} Combine like terms on the right side.



{{{x>(4)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-2}}} Reduce.



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Answer:


So the solution is {{{x>-2}}}