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 <em>false</em>
|−4| < |−5|:
4 < 5 <em>true </em>
|−5| < |4|
5 < 4 <em>false</em>
|−4| < −5
4 < -5 <em>false</em>
The only true inequality here would be |−4| < |−5|, since it works with the inequality sign.
Answer:
|−4| < |−5|
ANSWER

EXPLANATION
The parent square root function is

The translation

Will shift the graph of f(x) k units to left.
The translation

will shift the graph of f(x) to the right by k units.
Therefore if f(x) is shifted 4 units to the left its new equation is:

She can recieve a salary of $600 per week. If she went with option number two then she would be getting like 500 dollars.