2. (a) Let A = {x = [0, 1]: x has a decimal representation not containing the digit 5.} Show that A is measurable and find m(A). (b) Let B = {xn+y: x, y ≤ Q}. Show that B is measurable and find m(B).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. (a) Let
A =
{ x = [0, 1]: x has a decimal representation not containing the digit 5.}
Show that A is measurable and find m(A).
(b) Let
B = {xn+y: x, y ≤ Q}.
Show that B is measurable and find m(B).
Please provide full detailed proof as in real analysis.
Transcribed Image Text:2. (a) Let A = { x = [0, 1]: x has a decimal representation not containing the digit 5.} Show that A is measurable and find m(A). (b) Let B = {xn+y: x, y ≤ Q}. Show that B is measurable and find m(B). Please provide full detailed proof as in real analysis.
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