-x < x
find a counterexample.
x = 0 is a counterexample because -0 < 0 is the same as 0 < 0 which says something
can be less than itself, which is false, so 0 is, in fact, the largest possible
counterexample.
-x < x
-0 < 0
0 < 0 <--nothing can be less that itself!
x = -1 is a counterexample because -(-1) is the same as 1, which also says something
can be less than itself.
-x < x
-(-1) < 1
1 < 1 <--nothing can be less than itself.
-x < x is always true for positive numbers and is always false for zero and
negative numbers.
Edwin
