Solve the following inequality algebraically. ∣x−5∣≤11
There are 2 cases, if x-5 is negative or positive.
If negative:
-x+5≤11
-6≤x
If positive:
x-5≤11
x≤16
So therefor our final answer is that x greater or equal to -6 and smaller or equal to 16.
+230 
