P And Q Are Rational Numbers. Which Of The Following Expressions Cannot Be Used To Find The Distance Between Them On The Number Line., |P - Q|, |P + Q

P and q are rational numbers. Which of the following expressions cannot be used to find the distance between them on the number line.

|p - q|
|p + q|
|q + (-p)|
|q - p|

 

Answer:

|p + q|

Step-by-step explanation:

Lets say:

p = 4 and q = 9

The following expressions have the same absolute value:

|p-q| = |4-9| = |-5| = 5

|q + (-p)| = |9 + (-4)| = |5| = 5

|q - p| = |9 - 4| = |5| = 5

While:

|p + q| = |4 + 9| = |13| = 13