We select at random a point A in the interval [−1, 1].We then select a second point B, also at random, but now from the interval [−1, A]. Identify the sets representing the ranges of each of the following variables:

(i) X: the position of the point A in the interval [−1, 1];

(ii) Y: the position of the point B in the interval [−1, 1];

(iii) Z: the distance between the two points A and B;

(iv) W = [10X];

(v) V = [Z];

(vi) U = |X − Y|, where, as usual, | ⋅ | denotes the absolute value and [⋅] the integer part.