Answer:
[tex]0 < x < 8[/tex]
Step-by-step explanation:
Given
[tex]4 < x + 4 < 12[/tex]
Required
Solve
[tex]4 < x + 4 < 12[/tex]
Split:
[tex]4 < x + 4[/tex] and [tex]x + 4< 12[/tex]
Collect Like Terms
[tex]4 - 4 < x[/tex] and [tex]x < 12- 4[/tex]
[tex]0<x[/tex] and [tex]x < 8[/tex]
Combine
[tex]0 < x < 8[/tex]