Question 1007206
x can't be 0 or -3
Multiply through by x(x+3) to clear fractions, and you get x+x+3>=0, 2x+3>=0 and x>=-3/2.
critical values are <-3, between -3 and -3/2, between -3/2 and 0, and greater than 0.
pick -4
-1+-1/4 is not greater than or equal to zero.
pick -2
1-1/2 not greater than or equal to zero. That works.
Pick -3/2 itself.  1/1.5-1/(-3/2)=2/3-2/3 =0.  That works.
Try -1
1/2 -1 is not greater than 0.
>0, both are positive and it works.
The inequality works 

(-3,-3/2]U[0,oo)