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Let A={1,2,3} Let B=P(A) be the powerset of A. Define the following relation on B : R={(X,Y)XA,YA,X=Y} That is, two elements of B are related
Let A={1,2,3} Let B=P(A) be the powerset of A. Define the following relation on B : R={(X,Y)XA,YA,X=Y} That is, two elements of B are related by R if they have the same cardinality. 1. Which of the following properties of relations does R satisfy? Write a sentence explaining each answer. Reflexive Symmetric Anti-symmetric Transitive Equivalence relation Partial order 2. Compute B/R by listing all of the sets [X]R, for XA. How many elements does B/R have
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