!x - 4! = 9
when we remove mode' then we apply thi method given below
[tex]\begin{gathered} |x-4|=9 \\ \pm(x-4)=9 \end{gathered}[/tex][tex]\begin{gathered} x-4=9\text{ , -(x-4) = 9} \\ x=9+4\text{ , -x+4 = 9} \\ x=13\text{ , x=-9 +4 = -5} \end{gathered}[/tex]So the answer is
negative five and thirteen.
x = 13 , - 5
the correct option is C.