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26 votes
26 votes
Q is in the interior of

User Honcheng
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1 Answer

23 votes
23 votes

Answer:

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Explanation:

For every x ∈ R and each δ > 0 the interval (x−δ, x δ) carries both rational and irrational numbers. This implies that x can't be an interior factor of Q, and that x is a boundary point of Q. Therefore the indoors of Q is empty and the boundary of Q is R. Thus Q = b(Q) ∪ Q = R ∪ Q = R.

User Alanmoo
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