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A positive value is a value that is greater than zero. A negative value is a value that is less than zero.
Non-negative means either zero or positive.
If the absolute value of the negative is bigger than that of the positive, then the answer is negative. If the absolute value of the negative is the same, then zero. If the absolute value of the negative is smaller, then positive. Absolute value is the value ignoring the sign.
No. The absolute value is non-negative but, to be pedantic, that does not mean positive. The absolute value of 0 is 0 which is NOT positive.
The result will be a negative value.