No not? The rich are no/not always happy

The first is not correct at all. We don't use "no" like this. It should be "not."

moon7296Are 'no' and 'not' used just the same?

No.

You answer "No" to a question. It's the opposite of "Yes".

You use "no" with a noun. no milk, no water, no need for apologies, no special way to do this, no problems, no quick solutions, no wild animals, no questions, no vegetables, ...

You use "not" with verbs, adjectives, or adve

I thought there is something I don't know about 'no' as it is used in that sentence in my book.(my questions stuffs I found from this to 'universal quntifier'(you used this term) are from the same book! At least, this has turned out to be wrong.

Thank you.