Only values of a which are greater than or equal to 0 will
make
the expression inside the absolute symbol (that is -a)
negative.
Therefore, for the property |-a| = a to be
meaningful, a must be
greater than or equal to
0.
If a < 0, the -a will be positive, and therefore,
the absolute value
notation will become
redundant.
For example, let a = 5. Then -a = -5 and since
|-a| = a, we get
|-5| = 5
On
the other hand, of a = -3, then -a = 3 and since |-a| = a,
we
get |3| = 3. Here, the absolute value notation
became
redundant.
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