# For each natural number n, let An=(x in the real #s such that...

• Nov 13th 2011, 08:01 PM
Brjakewa
For each natural number n, let An=(x in the real #s such that...
For each natural number n, let A (subscript n) = (x in the real #'s such that n-1 < x < n) Prove that {A (subscript n) with n as an element of the natural numbers) is a pairwise disjoint family of sets and that the Union of (n in the natural numbers<-(below Union symbol)) of An <- (next to Union symbol) = (Positive real numbers - Natural Numbers)

How do you do this proof I'm stuck, it's extra credit I'd like the bonus points :D
• Nov 14th 2011, 02:46 AM
Plato
Re: For each natural number n, let An=(x in the real #s such that...
Quote:

Originally Posted by Brjakewa
For each natural number n, let A (subscript n) = (x in the real #'s such that n-1 < x < n) Prove that {A (subscript n) with n as an element of the natural numbers) is a pairwise disjoint family of sets and that the Union of (n in the natural numbers<-(below Union symbol)) of An <- (next to Union symbol) = (Positive real numbers - Natural Numbers)

Why don't you post in LaTeX? I cannot read that.