Question 1086970
Find the solution for the inequality:
|x/2+4|>5

Note: |f(x)|>a => f(x) < -a   or  f(x) > a

two solutions

x/2 + 4 > -5 = x + 8 > -10
Add both sides with 8 to isolate x
= x + 8 - 8 < -10 - 8
= x < -18

x/2 + 4 < 5 = x + 8 < 10 
Add both sides with 8 to isolate x
= x + 8 - 8  10 - 8
= x > 2

The solution are x < -18 or x > 2 
interval notation -> (-&#8734;, 18)  U  (2, &#8734;)