Answer :

Let's solve the given expression step by step to explain the result.

We are given the expression:
[tex]$ |-119 + 115| $[/tex]

1. Calculate the Sum Inside the Absolute Value:
We need to first add the two numbers inside the absolute value:
[tex]\[ -119 + 115 = -4 \][/tex]
So, the term inside the absolute value signs is [tex]\(-4\)[/tex].

2. Calculate the Absolute Value:
The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of [tex]\(-4\)[/tex]:
[tex]\[ |-4| = 4 \][/tex]

Thus:
[tex]\[ |-119 + 115| = 4 \][/tex]

This is the correct and complete solution for the given expression.