Question

question 10
2 points
the average starting salary for an information technology specialist at a manufacturing company is $75, 200. a salary for that position at the company differs from the average by as much as $8, 050. which inequality could be used to show the range of salary amounts?
|x - 75,200| ≤ 8,050
|x - 75,200| ≤ 4,025
|x - 75,200| < 4,025
|x - 75,200| < 8,050

Explanation:

Step1: Define the variable

Let $x$ = actual salary amount.

Step2: Set up the difference condition

The difference between $x$ and the average $75,200$ is at most $8,050$. In absolute value terms, this means the absolute value of the difference is less than or equal to $8,050$.
<Expression>
$|x - 75,200| \leq 8,050$
</Expression>

Step3: Match to options

Compare the derived inequality to the given choices.

Answer:

$|x - 75,200| \leq 8,050$ (the first option)