Question

Given that q is a point located a distance from p on a number line, choose all that correctly give the distance between q and p.

A) q - p
B) p - q
C) |q - p|
D) |p - q|

Answer 1

The correct options that represent the distance between two points p and q on a number line are |q - p| and |p - q|, ensuring a non-negative value.

Step-by-step explanation:

The question is concerning the distance between two points on a number line. The distance between two points, represented by p and q, is always a non-negative value, and therefore absolute value must be considered when calculating this distance. The correct expressions for the distance are thus C) |q - p| and D) |p - q|, because absolute value ensures that the result is non-negative, irrespective of which point is positioned further along the number line.