Answer: A.) 2 <= X <= 5
B.) 48 < = X < = 120
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