Thursday, May 23, 2013

What errors do the property │-a│= a attempt to avoid when it states the equation is only true for a≥0?Please illustrate through the use of an...

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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