A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4500. 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.

Question

Ernest Henson

Mathematics

27 August, 01:22

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4500. 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.

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Answers (1)

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Mara Schultz · Answer 1

In this problem, the mean salary is equal to $37,500 while the maximum salary is $4500 more than the mean and the mnimum salary is $4500 less than the mean salary. This means the equation that represents the salaries is |x - 37500| ≤ 4500; The salaries range from $33,000 to $42,000