I have to solve for x >>> l x - 3 l > 8

Answer 1

-(x-3)>8 or (x-3)>8
-x + 3 >8 or +x -3 >8
-x >5 or +x>11
x <-5 or x > 11
=================
check
if x = -6
l -6 - 3 l > 8
9 > 8 yes
if x = 12
l 12 - 3 l > 8
9>8 yess

Answer 2

Wait, where did you get -6 and 12 from to check?

Answer 3

I picked numbers just outside the allowed range.

Answer 4

|x - 3| > 8.
x - 3 > +- 8,
x > (+-8) + 3,
X > 11.
X > -5.