Question 29885
1/2< (x+4)/2 =< 4  Multiplying by 2 (>0) 
1 < (x+4) =< 8 ----(1)
(multiplication by a positive quantity does not alter the inequality)
1 < (x+4)
1-4 < x
-3 < x ----(*) [That is x >(-3)]
(x+4) =< 8 
x =< 8-4
x =<4  ----(**)
Combining (*) and (**) we have  -3 < x =<4
Answer:  -3 < x =<4