Thread: 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

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.

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