Let X be the set of all humans. If x E X, we define the set Ax = {people who had the same breakfast or lunch as x}. (a) Does the collection {Ax :x E X} partition X? Explain your answer.
Let X be the set of all humans. If x E X, we define the set Ax = {people who had the same breakfast or lunch as x}. (a) Does the collection {Ax :x E X} partition X? Explain your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7.4.2 Let X be the set of all humans. If x € X, we define the set
Ax =
{people who had the same breakfast or lunch as x}.
(a) Does the collection {Ax : x € X} partition X? Explain your answer.
(b) Is your answer different if the or in the definition of Ax is changed to and?
If Jane and Tom had both had the same breakfast and lunch, then Ajane
fewer distinct sets Ax than there are humans!
=
ATom so there are likely many
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