Given:
The compound inequality is:
[tex]3<x+3<6[/tex]
To find:
The solution for x.
Solution:
We have,
[tex]3<x+3<6[/tex]
To solve the inequality, we need to isolate the variable x.
Subtracting 3 from each side, we get
[tex]3-3<x+3-3<6-3[/tex]
[tex]0<x<3[/tex]
The solution for x is [tex]0<x<3[/tex]. Therefore, the correct option is C.
