Question 889100
The absolute value denominator is positive, so multiplying the members by it will require
no change in order direction.


So do that multiplication.

{{{1/abs(x+3)>=1/2}}}
{{{1>=(1/2)abs(x+3)}}}
continuing
{{{2>=abs(x+3)}}}


IF {{{x+3>=0}}} THEN {{{x+3<=2}}}
{{{x<=2-3}}}
{{{highlight_green(x<=-1)}}}


IF {{{x+3<0}}} THEN {{{-x-3<2}}}
{{{-x<2+3}}}
{{{-x<5}}}
{{{-x*(-1)>5*(-1)}}}  The direction of inequality must here be reversed as shown.
{{{highlight_green(x>-5)}}}


SOLUTION:   {{{highlight(-5<x<-1)}}}