[tex]Solution, x-7<-12\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Steps:
[tex]x-7<-12[/tex]
[tex]\mathrm{Add\:}7\mathrm{\:to\:both\:sides}, x-7+7<-12+7[/tex]
[tex]Simplify, x<-5[/tex]
The correct answer is x<-5
Hope this helps!!!