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.

Respuesta :

Answer: A.) 2 <= X <= 5

B.) 48 < = X < = 120

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 5

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 5

To represent the range in hours, first convert the number of days to hour

1 day = 24 hours

2 days = 2 × 24 = 48 hours

5 days = 5 × 24 = 120 hours

Therefore, the range will be

48 < = X < = 120