Question 315600

{{{-3x+14-x<56+3x}}} Start with the given inequality.



{{{-4x+14<56+3x}}} Combine like terms on the left side.



{{{-4x<56+3x-14}}} Subtract {{{14}}} from both sides.



{{{-4x-3x<56-14}}} Subtract {{{3x}}} from both sides.



{{{-7x<56-14}}} Combine like terms on the left side.



{{{-7x<42}}} Combine like terms on the right side.



{{{x>(42)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-6}}} Reduce.



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Answer:


So the solution is {{{x>-6}}}