I need the answer as soon as possible 16. Suppose B is a o-field of subsets of 2 and suppose Q : BH [0, 1] is a setfunction satisfying(a) Q is finitely additive on B.(b) 0 < Q(A) < 1 for all A e B and Q(2) = 1.(c) If A¡ e B are disjoint and E A; = 2, then E Q(A¡) = 1.%3D

Complete proof is provided in step2.

Answered: eld of subsets of 2 and suppose Q: B…

eld of subsets of 2 and suppose Q: B [0, 1] is a set dditive on B. 1 for all A e B and Q(2) = 1. disjoint and E1 A¡ = 2, then , Q(A;) = 1. %3D

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 25E: Suppose S is a subset of an field F that contains at least two elements and satisfies both of the...

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Question

I need the answer as soon as possible

16. Suppose B is a o-field of subsets of 2 and suppose Q : BH [0, 1] is a set
function satisfying
(a) Q is finitely additive on B.
(b) 0 < Q(A) < 1 for all A e B and Q(2) = 1.
(c) If A¡ e B are disjoint and E A; = 2, then E Q(A¡) = 1.
%3D

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