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. (2 points)

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

b
|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

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

d
|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answer 1

average salary is equal to 37,500

maximum salary is 4500 +37,500 = 42,000

mnimum salary is 37,500 - 4500 = 33,000

the equation is |x − 37500| ≤ 4500 meaning the salaries range from $33,000 to $42,000