Question 28944
x/2 less than -2 or -x/2 greater than or 0

x/2 less than -2 
(x/2)< (-2)
Multiplying by 2 (and multiplying by a positive quantity does not alter the inequality and hence here less than will remain less than)
x <(-2)X2
That is  x< (-4)


(x/2)< (-2)
Multiplying by (-1)(and multiplying by a negative quantity alters the inequality and hence here less than will become greater than)
(x/2)X(-1) > (-2)X(-1)
(-x/2) > +2 and +2 >0
Therefore by transitivity  (-x/2) > 0  
(Transitivity rule: a> b and b>c implies a > c)