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Consider ariom (1.4). It is often described as a continuity ariom. Explain why it is described that way. (Hint: Notice that if a 1 and b 0 (which are not permissible choices of a and b), then the conclusion simply repeats the assumption.) (1.4) If a a' a", then there exist a and ? in (0,1) such that aa (1- a)a" a' ba +(1 -b)a".
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