There's probably a few ways to do it, I'd say:
I think this will do it
i cant figure out if how to write this in set builder notation
{{0},{0,1},{0,1,2},{0,1,2,3}.....} can anyone help me with this i guessed that you could do it like this
{x | for all x there is a value y that is y < x i and y and x are positive integers}
That's true. It's the same. I believe setting these "()" is not strictly necessary, but it makes it better readible I guess
That's a good question. Actually I'm not sure: Normally we keep the notation as an interval in , or .
Anyway: I think just writing Is suggestive enough in itself. Every mathematician will know what you mean ;p
is a more formal notation.
thanks for the quick replys I am still waiting for my prof to tell me the solution proved was correct here was his sugguestions prior to me posting this on the board. Im guessing this is going to be on the quiz since he wont just tell me the answer.
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What is the set { x | 0 <= x <= b } ? Isn't that the typical element of the set of sets we are trying to describe? Now just index this over all the relevant values of b, using appropriate set-builder notation.
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include all the integers from 0 to k for each fixed k. Find a way to
>> say that using set-builder notation (you'll be using set-builder
>> notation within set-builder notation).