Ivan Shishkin, Rye (1878)

Problems/Set theoryExercise

Des exemples de sous-ensembles ?

by Ancient Tree·
5
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.
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  1. Est-ce que l’ensemble {A,B,C}\{\text{A},\text{B},\text{C}\} est un sous-ensemble de l’ensemble {A,B,C,D,E,F}\{\text{A},\text{B},\text{C},\text{D},\text{E},\text{F}\} ?

  2. Est-ce que l’ensemble {1,2,4}\{1,2,4\} est un sous-ensemble de l’ensemble {1,2,3,5,6}\{1,2,3,5,6\} ?

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Solution by darktoaster

Discussions0 useful votes

1)\textbf{1)} Oui, tous les éléments de {A,B,C}\{A,B,C\} sont aussi dans {A,B,C,D,E,F}\{A,B,C,D,E,F\}

2)\textbf{2)} Non, l’ensemble {1,2,4}\{1,2,4\} n’est pas un sous-ensemble de {1,2,3,5,6}\{1,2,3,5,6\} car 44 appartient à {1,2,4}\{1,2,4\} mais pas à {1,2,3,5,6}\{1,2,3,5,6\}

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