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### Assignment #6 - Due 2.13.12

Course: MATH 345, Spring 2012
School: UMass Boston
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345 MAT Assignment #6 Due 2/13/12 Please write up your solutions on a separate sheet of paper. We want to developed two &quot;corollaries&quot; to the Archimedean Property: i. Given any real number x there exists natural a number n where n &gt; x. 1 &lt; y. n ii. Given any real number y &gt; 0, there exists a natural number n where 1. Prove corollary (i). (Hint: Let a = 1 .) 2. Prove...

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345 MAT Assignment #6 Due 2/13/12 Please write up your solutions on a separate sheet of paper. We want to developed two "corollaries" to the Archimedean Property: i. Given any real number x there exists natural a number n where n > x. 1 < y. n ii. Given any real number y > 0, there exists a natural number n where 1. Prove corollary (i). (Hint: Let a = 1 .) 2. Prove corollary (ii). (Hint: Let b = 1 .)
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