We consider two non-empty sets A and B, with AC R+ bounded above and B C (1.5, +∞) bounded below, and we define CZER: there exists x € A and y € B such that z = = {₂₁ #} C is therefore the set of all real numbers created as the division between any number in A and any number in B. Prove that sup(C exists and that sup(C) = sup(A) inf(B).
We consider two non-empty sets A and B, with AC R+ bounded above and B C (1.5, +∞) bounded below, and we define CZER: there exists x € A and y € B such that z = = {₂₁ #} C is therefore the set of all real numbers created as the division between any number in A and any number in B. Prove that sup(C exists and that sup(C) = sup(A) inf(B).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 12E
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