(i) Let {I1,I2, I3,· · } be a set of nested closed intervals, that is In+1 C In for all n. Prove that ... Ø 7 "1U i=1 Show that the above result need not hold if each In is allowed to be an open interval.

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3(i) and (ii) please!
3. (i) Let {I1, I2, I3, · · · } be a set of nested closed intervals, that is In+1 C In for all n. Prove that
Ø 7 "1U
i=1
(ii) Show that the above result need not hold if each In is allowed to be an open interval.
Transcribed Image Text:3. (i) Let {I1, I2, I3, · · · } be a set of nested closed intervals, that is In+1 C In for all n. Prove that Ø 7 "1U i=1 (ii) Show that the above result need not hold if each In is allowed to be an open interval.
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