|x^2-6x-1|<6
What I did was:
-6<x^2-6x-1<6
-6<x^2-6x-1
-5<x^2-6x
-x^2+6x-5<0
(x-5)(x-1)
x=5, x=1
1<x<5
x^2-6x-1<6
x^2-6x-7<0
(x-7)(x+1)<0
-1<x<7
The answer given is -1<x<1 or 5<x<7
Do I have to sketch a graph to visualize it or something to understand it better?