Question: Exercise 1.11. Let A R be nonempty and bounded below and define A := {x : x A}. (i) Show that A is nonempty and

Exercise 1.11. Let A R be nonempty and bounded below and define A := {x : x A}. (i) Show that A is nonempty and bounded above. Conclude that sup(A) exists. (ii) Show that inf A exists and, moreover, inf A = sup(A)

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