Question

1. to avoid overtime pay, an employee must work no more than 40 hours per week. what inequality represents this?

a. $h < 40$
b. $h \geq 40$
c. $h \leq 40$
d. $h > 40$

Explanation:

The problem is about representing the number of hours \( h \) an employee works per week to avoid overtime. "No more than 40 hours" means the number of hours \( h \) can be 40 or less. The inequality \( h \leq 40 \) means \( h \) is less than or equal to 40, which matches the requirement. Option a (\( h < 40 \)) would mean less than 40 but not including 40, which is too restrictive. Option b (\( h \geq 40 \)) means 40 or more, which is overtime. Option d (\( h > 40 \)) means more than 40, which is also overtime. So the correct inequality is \( h \leq 40 \).

Answer:

c. \( h \leq 40 \)