In this question, we're trying to find the inequality that is true.
To find your answer, we can convert the numbers in the absolute value:
|−5| < 4:
5 < 4 false
|−4| < |−5|:
4 < 5 true
|−5| < |4|
5 < 4 false
|−4| < −5
4 < -5 false
The only true inequality here would be |−4| < |−5|, since it works with the inequality sign.
Answer:
|−4| < |−5|
