Can anyone solve this devilish brain teaser?

Question

I posed this question to my 6th, 7th, 8th grade gifted students. To make things interesting there is no solution posted anywhere. I have my solution in hand after hours of confusion and need to check it. First fully explained correct solution gets my vote! Can you solve it?

Teaser posted at: http://amby.com/go_ghoti/princess.html

Good Luck!

Shortened Version Of The Teaser

The next day he had Kecho placed in a room with nine doors. Each door led to a single room. One of the rooms contained the princess while the rest of the rooms were either empty or contained a tiger. Above each door was a sign.
Here's a list of the signs:
oRoom I: The lady is an odd-numbered room.
Room II: This room is empty.
Room III: Either sign on Room V is right or sign on Room VII is wrong.
Room IV: Sign on Room I is wrong.
Room V: Either sign on Room II or sign on Room IV is right.
Room VI: Sign on Room III is wrong.
Room VII: The lady is not in Room I.
Room VIII: This room has a tiger and Room IX is empty.
Room IX: This room has a tiger and sign on Room VI is wrong.

The king told Kecho, "The sign on the door of the room containing the princess is true; the signs on the doors of all the rooms containing the tigers are false; while those on the empty rooms can be either true or false."

Answer 1

Room VII

Answer 2

2

Answer 3

4

Answer 4

I would choose room 6. I think they all point to room 6. I believe that room 1 is wrong as according to rooms 4, 5, and 7. 2 is empty. only 9 raises an oposition to it being room 6. But 9 is a lie becasue it has a tiger in it. also I could kick a tigers butt. .

Answer 5

room 1

Answer 6

room 2

Answer 7

room 3

Answer 8

room 3!

Answer 9

Room I did math on note book process of elimination

Answer 10

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