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)