Let A = {1, 2, 3} and let ρ be a relation on P (A) × Z that maps a set to its cardinality, e.g. ({1, 2}, 2) ∈ ρ. (The notation P (A) denotes the powerset of A) What is the set B ⊂ Z with the fewest elements such that ρ ⊂ P (A) × B? Provide a written justification as well as the set B itself.

Let A = {1, 2, 3} and let ρ be a relation on P (A) × Z that maps a set to its cardinality, e.g. ({1, 2}, 2) ∈ ρ. (The notation P (A) denotes the powerset of A) What is the set B ⊂ Z with the fewest elements such that ρ ⊂ P (A) × B? Provide a written justification as well as the set B itself.

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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