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5. (a) Define what it means for subset S C R to be dense in R (b) Prove Q is dense in R. You may assume the Archimidean property and the fact that for any cER, Zn [c, c+1) ts.

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2Vé ha, a (b) cRis donse in R we can prrui a rahonal no, T S e mudign popo Arehime dian. So we

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