Let X={1,2,3}. Let P(X) be the set of all subsets of X (i.e. Power set of X). Let R be a relation defined on P(X) by the following. For all sets A and B in P(X)P(X), ARB iff |A|=|B||A|=|B|. Is R an equivalence relation?
Let X={1,2,3}. Let P(X) be the set of all subsets of X (i.e. Power set of X). Let R be a relation defined on P(X) by the following. For all sets A and B in P(X)P(X), ARB iff |A|=|B||A|=|B|. Is R an equivalence relation?
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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Let X={1,2,3}. Let P(X) be the set of all subsets of X (i.e. Power set of X). Let R be a relation defined on P(X) by the following. For all sets A and B in P(X)P(X), ARB iff |A|=|B||A|=|B|. Is R an equivalence relation?
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