Question 1010356
{{{(sqrt(x+7))^2<(x-5)^2}}}


{{{x+7<x^2-10x+25}}}


{{{x^2-10x+25-x-7>0}}}


{{{x^2-11x+18>0}}}


Discriminant,  {{{121-4*18=49=7^2}}};
zeros are  {{{(-11-7)/2=-9}}}  and  {{{(-11+7)/2=-2}}}.
BE CAREFUL.  This became a parabola, but the inequality cannot use {{{x<-7}}}, meaning  neither can {{{x<-9}}}.  Do you understand why?  On the other side,  you can use the part,  {{{highlight(x>-2)}}}.