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2. Use the field and order axioms of R to prove the following: (a) If a 2. Use the field and order axioms of IR

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2. Use the field and order axioms of R to prove the following: (a) If a

2. Use the field and order axioms of IR to prove the following: (a) If a < b c anda c then a b c. (b) If x is a real number such that 0 < x < h for every positive number h then x 0. 3. Put the following numbers in ascending order without converting them to decimal form: 14 17 3 3, 10' 12 2

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