Home > GB8I > Chapter 9 Unit 10 > Lesson INT1: 9.2.1 > Problem9-47

9-47.

Write and solve an absolute value inequality for this situation.

At Acme Trucking, the average starting annual salary is $\24\text{,}000$ but the actual salary could differ from average by as much as $\1575$. What is the range of salaries?

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.

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