Bullet system with resistance$|$ Problem

A bullet is shot up into the air and then comes back down.$$ Which of the following statements about the bullet $+$ Earth system are true?

Assuming air resistance is NOT negligible:$$

Group of answer choices

The system will lose less mechanical energy on the way up than on the way down.

The system will lose more mechanical energy on the way up than on the way down.

The system will lose an equal amount of energy on the way up as on the way down.