It means that you take the absolute values of different numbers, and then compare them to see which one is greater.
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There is a technical definition for absolute value, but you could easily never need it. You should view the absolute value of a number as its distance from zero. The absolute value of +3 is 3, since it is three away from zero. The absolute value of -3 is 3, since it is three away from zero the other way.
If you mean something like: | x | = -1 That has no solution. The absolute value of any expression on the inside of the absolute value bars can only be zero or positive.
It means the distance from zero. | 22 | (the absolute value of 22) is 22; | -22 | (the absolute value of -22) is also 22. Basically just take out the negative, and that is the absolute value.
If you mean: 8.080 8.088 and 0.888 then it is 8.088 that has the greatest value
Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.