There is a difference between the word, "worth" and "worthy". You can measure a persons "worth" by the amount of money and property that he owns. A person is "worthy" if you think he deserves your time, respect and care. A poor person can still be "worthy". The world is worth a great deal. It has great value in resources like water, minerals and clean air. Caring for the earth is a worthy cause. It is a project that deserves our time and serious attention. Hope this helps

They are not true or false sentences. The second statement is not a complete sentence. 1. The world is worth it (what)? 2. The world is worth (what)? 3. The world is worthy (of what)?

#2 is grammatically wrong... #1. 值得 #3. 偉大, 賢達

Honestly, I think all of them sound kind of awkward. Maybe you mean to say "The world is precious"? Or "sacred"?