SOLUTION: x/2 less than -2 or -x/2 greater than or 0

Question 28944: x/2 less than -2 or -x/2 greater than or 0
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
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)

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