Question 1120993
{{{(2x-3)/(x+3)-4(x+3)/(x+3)>=0}}}


{{{(2x-3-4x-12)/(x+3)>=0}}}


{{{(-2x-15)/(x+3)>=0}}}


{{{(2x+15)/(x+3)<=0}}}


The critical x-values are  {{{-15/2}}} and {{{-3}}}.
Check the intervals  (-infinity, -15/2], [-15/2,-3], and [-3, infinity).  See which satisfy the original inequality.