Question 978999
Suspecting that  inequality is written incorrectly, maybe the correct inequality being  (3x-4)/(x+3)<2,


The solution may go this way:
{{{(3x-4)/(x+3)<2}}}


{{{(3x-4)/(x+3)-2<0}}}


{{{(3x-4)/(x+3)-2((x+3)/(x+3))<0}}}


{{{(3x-4-2x-6)/(x+3)<0}}}


{{{(x-10)/(x+3)<0}}}-----------You want to find how the expression for the left member will be negative...


Do you know how to finish this?  Can you identify the critical x values?