Question 547949


{{{-5x+3<3x+23}}} Start with the given inequality.



{{{-5x<3x+23-3}}} Subtract {{{3}}} from both sides.



{{{-5x-3x<23-3}}} Subtract {{{3x}}} from both sides.



{{{-8x<23-3}}} Combine like terms on the left side.



{{{-8x<20}}} Combine like terms on the right side.



{{{x>(20)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-5/2}}} Reduce.



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Answer:


So the solution is {{{x>-5/2}}}