Let's solve the given problem step by step:
1. Perform the subtraction inside the absolute value function:
[tex]\[
13 - 15 = -2
\][/tex]
2. Calculate the absolute value of the result:
The absolute value of a number is the distance of that number from 0 on the number line, without considering direction. Essentially, it turns negative values into positive ones and keeps positive values as they are. So:
[tex]\[
|-2| = 2
\][/tex]
Thus, the value of [tex]\( |13 - 15| \)[/tex] is [tex]\( 2 \)[/tex].
The correct answer is:
A. 2
