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Practice Problem on Use of Archimedean Property Score: 0/8 0/1 answered Question 1 Progres Suppose for a positive real number ax, we have 3a

Practice Problem on Use of Archimedean Property Score: 0/8 0/1 answered Question 1 Progres Suppose for a positive real number ax, we have 3a + 11a > 5. Using the Archimedean property of real numbers, show that there is n N such that 3 a 3 (a 1 ) + 11 ( a - . =-) > 5. Clearly state how large n n should be in terms of a. Practice Problem on Proofs related to definition of Supremum Score: 0/8 0/1 answered Question 1 Progn Suppose S and I are two non-empty subsets of R such that sup(S) < inf(T). Show that there is a R such that for all & S and all y E T, a < a

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