"Sok mérges férfi és nő megy ki a drága, de rossz szállodából."

Translation: Many angry men and women go out from the expensive but bad hotel.

[ZsofinSheehy]

Should be out of, not out from

[Mutusen]

Why is it not "kimegy" rather than "megy ki"?

[vvsey]

Here, the focus is on the angry men and women. They leave the hotel. The verb is not so much emphasized, it gets split. Also, it gives the sentence a litte bit of a present continuous sense.
Also, if I wanted to form a question for this sentence, I would ask:
"Who is going out of the hotel?". - Again, focus on the subject.

If we change the verb to "kimegy", then suddenly the verb is in focus. The question I would form is:
"What are/do those angry men and women do(ing)?" - Focus on the action, the verb.

You can take this as a general guideline: verb intact - focus on the verb; verb split - focus on something else.

[O_Matty]

Found the Fawlty Towers fan.

[Lili920420]

This sounds temporary to me. Megy ki does not sound to me as they are leaving because the hotel is poor and expensive. They would simply "leave" such a place. Not go out from or leave from it.