Suppose that a number r is to be selected from the real line R, and let A, B, and C be the events represented by the following subsets of R, where the notation {r : ---} denotes the set containing every point x for which the property presented following the colon is satisfied: = {x:1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 2.1
Suppose that a number r is to be selected from the real line R, and let A, B, and C be the
events represented by the following subsets of R, where the notation {x : - --} denotes the
set containing every point x for which the property presented following the colon is satisfied:
A = {x:1<x <5}
{x :3 <x < 7}
C = {r:x<0}
B
Describe each of the following events as a set of real numbers:
(а) Ас
(b) AUB
(c) BNCC
(d) A°n B°n C°
(e) (AUB)nC
Transcribed Image Text:Problem 2.1 Suppose that a number r is to be selected from the real line R, and let A, B, and C be the events represented by the following subsets of R, where the notation {x : - --} denotes the set containing every point x for which the property presented following the colon is satisfied: A = {x:1<x <5} {x :3 <x < 7} C = {r:x<0} B Describe each of the following events as a set of real numbers: (а) Ас (b) AUB (c) BNCC (d) A°n B°n C° (e) (AUB)nC
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