The difference between the actual salary and the average salary of $\$24\text{,}000$ can be as much as $\$1575$ (in either the positive or negative direction). Hence absolute value can be used to write this inequality.

$|s−\$24\text{,}000|<\$1575$
$\$22\text{,}425\le s\le\$25\text{,}575$