Ever since Jake was taken to the hospital, the only times Min-jung ventured to leave Jake's side was when she went to freshen up or ease herself, and on those occasions, Alex was always there to watch over him in her absence.
Alex had refused to leave Min-Jung's side since he was scared that she could end up sick and hospitalized if he wasn't there to force her to take a break or to eat and sleep.
Getting her to even get some sleep was always a struggle since she would always refuse, saying she needed to be alert for when he would wake up.
It was easier to get her to eat because he always tried to remind her that she needed to eat and be healthy for when Jake would wake up so she wouldn't look too weak.
Min-jung had shed a lot of weight as a result of not having enough rest since the whole incident, but she didn't care, and seeing her that way tugged at Alex's heart.