The set of an integer is called the set Z
The set of integers number is composed by
the positive whole number {0, 1, 2, 3…}
and the negative whole number
{…-4, -3, -2, -1, 0} .We write it as follow
Z= {…- 4, -3, -2, -1, 0}U{0, 1, 2, 3…}.
If we assume that k is inside Z, so k can
be a negative integer of positive integer.
Besides the absolute value of a number
is always the positive value of this number.
Let be k<0 an integer different from zero,
so abs(k) >0, and abs(k)> k for all value of k.
For example for k= -2, and
abs(k)=abs(-2)=2> -2 (always)