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

Given:
Average salary = 37,500
differ as much as 4,500

37,500 + 4,500 = 42,000
37,500 - 4,500 = 33,000

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000