Question

A factory can work its employees no more than 5 days a week, and no less than 2 days per

week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.

Answer 1

2 ≤ x ≤ 5

Explanation:

If x = number of days worked

According to the question:

Employees cannot work for more than 5 days per week: that is maximum working days per week is 5 - - - (1)

x ≤ 5 - - - (1)

Employees cannot work for less Than 2 days per week, that is minimum working days per week is 2 days

x ≥ 2 - - - (2)

Combining both conditions (1) and (2) such that the both Inequality sign are the same :

If x ≥ 2 ; then 2 ≤ x

Combining 2 ≤ x and x ≤ 5

We have ;

2 days ≤ x ≤ 5 days