"Let I be the set of real numbers that are greater than 0. For each x I, let be the open interval (0,x). Prove that = , = I. For each x I, let be the closed interval [o, x]. Prove that = {0}, = I {0}."

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- Sep 30th 2011, 01:19 PMBorkborkmathProof with sets
"Let I be the set of real numbers that are greater than 0. For each x I, let be the open interval (0,x). Prove that = , = I. For each x I, let be the closed interval [o, x]. Prove that = {0}, = I {0}."

- Sep 30th 2011, 01:45 PMPlatoRe: Proof with sets
- Oct 2nd 2011, 10:21 AMBorkborkmathRe: Proof with sets
I might be wording this wrong, but the idea is similar to finite subcovers?

- Oct 2nd 2011, 10:31 AMPlatoRe: Proof with sets