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The absolute value of 3 is +3. No negative number can have a value greater than +3.
No. The absolute value of negative nine is greater than the absolute value of 3.
You can think of the absolute value of a number as measuring its distance from zero. 12 is further away than 4 from 0, thus its value is greater.
The absolute value of a number IS its distance from zero: not greater nor less than it.