Suppose that a number x is to be selected from the real line S, and let A, B, and C be the events represented by the following subsets of S, 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}, B = (x:3 < x≤7}, C = (x:x≤0}. Describe each of the following events as a set of real numbers: a. Ac d. An B ncc b. AUB c. Bncc e. (AUB) nc.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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7. Suppose that a number x is to be selected from the real
line S, and let A, B, and C be the events represented by the
following subsets of S, 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},
B = {x:3 < x≤7},
C = (x:x≤0}.
Describe each of the following events as a set of real
numbers:
a. Ac
d. An Bºncc
b. AUB c. Bncc
e. (AUB) nC.
Transcribed Image Text:7. Suppose that a number x is to be selected from the real line S, and let A, B, and C be the events represented by the following subsets of S, 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}, B = {x:3 < x≤7}, C = (x:x≤0}. Describe each of the following events as a set of real numbers: a. Ac d. An Bºncc b. AUB c. Bncc e. (AUB) nC.
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