Question

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.
|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answer 1

The salaries could be as much as $4500 less than $37,500 which means that the salaries could be as little as
4500 = $33,000

Or..

The salaries could be as much as $4500 more than 37,500 + 42,000

So

The salries could range from 33,000 to 42000 and lx - 37,5000 l ≤ $4500 is correct [ the first answer ]

Answer 2

is this helpful?

Answer 3

@Aleyah