#x^2+4x+4>=9#

so #x^2+4x-5>=0#

Factorising #(x-1)(x+5)>=0#

The values we are looking at are #x=1# and #x=-5#

the sign chart is the following

#x##color(white)(aaaaaaaaaaa)##-oo##color(white)(aaaaaa)##-5##color(white)(aaaaaa)##1##color(white)(aaaaaa)##+oo#

#x-1##color(white)(aaaaaaaaaaaaa)##-##color(white)(aaaaaa)##-##color(white)(aaaaa)##+#

#x+5##color(white)(aaaaaaaaaaaaa)##-##color(white)(aaaaaa)##+##color(white)(aaaaa)##+#

#(x-1)(x+5)##color(white)(aaaaaa)##+##color(white)(aaaaaa)##-##color(white)(aaaaa)##+#

From the sign chart, we see that # x in (-oo,-5)# for the function to be positive

From the sign chart, we see that # x in (1,+oo)# for the function to be positive