Geometric definition of absolute value equations, Algebra

In this definition we will think of |p| as the distance of p from the origin onto a number line. Also we will always employ a positive value for distance.  Assume the following number line.

1788_Geometric Definition of Absolute value equations.png

From this we can get the given values of absolute value.

|2| = 2                        |-3| =3                                          |9/2| = 9

All that we have to do is identify the point onto the number line & determine its distance from the origin.  Note as well that we also have |0 |= 0 .

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