Question 231026
(a) 
2 < |x &#8722; 4| < 8 
.
|x-4|>2
x-4>2
x>6
.
x-4<-2
x<2
.
|x-4|<8
x-4<8
x<12
.
x-4>-8
x>-4
.
{{{-4<x<2}}}, {{{6<x<12}}}
.
Ed