Ivan Shishkin, Rye (1878)

Problems/Set theoryReviewed

Quick exercise on set theory

by Sequoia·
20
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
·
English
EnglishFrançais

Let EE be a set and A,B,C⊂EA,B,C\subset E.

What sufficient and necessary condition on these subsets leads to the equality

A∪B=B∩C  ?A\cup B=B\cap C\,\, ?

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