Question 706348
{{{(sqrt(2x+9)^2) < 3}}}

square both sides

{{{(2x+9)^2<9}}}


{{{4x^2+36x+81<9}}}

{{{4x^2+36x+72<0}}}

/4

{{{x^2+9x+18 <0}}}

{{{x^2+6x+3x+18<0}}}

{{{x(x+6)+3(x+6))<0}}}

{{{(x+6)(x+3)<0}}}


either x+6<0
ie: x<-6

OR x+3<0

x<-3

-6>x<-3