-4 - |x/2| ³ 2

There can be no solution because:

-4 is a negative number

|x/2| is either 0 or a positive number

Therefore -|x/2| is either 0 or a negative 
number.

Therefore -4 - |x/2| is a negative number

The right side is 2, which is a positive number.

No negative number is ever greater than or 
equal to a positive number.  

Therefore there is no solution.  

Edwin