Respuesta :
Given data:
[tex]|x - 1| < 5[/tex]
Solution:
[tex]|x - 1| < 5[/tex]
Apply absolute rule:
If [tex]|u|<a, \ a>0[/tex],then [tex]-a<u<a[/tex].
Using this rule,
[tex]-5<x-1<5[/tex]
Add 1 on each side.
[tex]-5+1<x-1+1<5+1[/tex]
[tex]-4<x<6[/tex]
The solution is -4 < x < 6.
