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.