8. (a) Prove that for every E > there is a sequence of open intervals {hhEN

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8.

(a) Prove that for every E > ° there is a sequence of open intervals {hhEN that covers [0,1] n Q such that

(b) Prove that if {h hEN is a sequence of open intervals that covers [0, 1], then there is an N E N such that

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