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Prove or disprove: Suppose C and D are sets with C ∩ D = ∅. Then P(C) ∩ P(D) = ∅.

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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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

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Prove or disprove:

Suppose C and D are sets with C ∩ D = ∅. Then P(C) ∩ P(D) = ∅.

Note: P(C) and P(D) are the power sets

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