= {é, X, {m}, {n}}. → [0, ∞) by Q. Let X = {m, n}, and Define the function Hn:> { 3 if n e A 0 if n¢ A Hn (A) then %3D a. Hn is a measure and µ({m, n}\{n}) = 0 b. Hn is not a measure. c. Hn is a measure and „({n}\{m}) = 3 d. None of these. a b O d

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Q. Let X = {m,n}, and >= {¢, X, {m}, {n}}.
Define the function Hn :> - [0, 0) by
S 3 if n e A
Hn (A) =1 0 if n ¢ A
then
%3D
a. Hn is a measure and 4„({m, n}\{n}) = 0
b. Hn is not a measure.
c. fp is a measure and u„({n}\{m}) = 3
d. None of these.
a
b
d
Transcribed Image Text:Q. Let X = {m,n}, and >= {¢, X, {m}, {n}}. Define the function Hn :> - [0, 0) by S 3 if n e A Hn (A) =1 0 if n ¢ A then %3D a. Hn is a measure and 4„({m, n}\{n}) = 0 b. Hn is not a measure. c. fp is a measure and u„({n}\{m}) = 3 d. None of these. a b d
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