Question 515033


{{{2x-7<5x+4}}} Start with the given inequality.



{{{2x<5x+4+7}}} Add {{{7}}} to both sides.



{{{2x-5x<4+7}}} Subtract {{{5x}}} from both sides.



{{{-3x<4+7}}} Combine like terms on the left side.



{{{-3x<11}}} Combine like terms on the right side.



{{{x>(11)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-11/3}}} Reduce.



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Answer:


So the solution is {{{x>-11/3}}} 



Which approximates to {{{x>-3.667}}}