Ensemble : unions, intersections et complémentaires

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Question 1

Dans cette question, l'ensemble $\mathcal{E}$ est défini par $\mathcal{E}=\{n \in \mathbb{N}\; | \;n \leq \var{a}\}$ .

Soit:

$A=\{n \in \mathbb{N}\;|\;\var{b}\leq x \leq \var{c}\}$ .

$B=\{n \in \mathbb{N}\;|\;n \gt \var{d}\}$ .

$C=\{ n \in \mathbb{N}\;|\; n \text{ divisible par } \var{f}\}$ .

Donnez les ensembles suivants:

Vous écrirez les ensembles sous la forme set(a,b,c,..,z). L'ensemble vide est noté set().

a) $A \cup C=\;$ interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\left\{ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 2, 16, 18, 20, 22 \right\}}$

b) $\overline{B} \cap C=\;$ interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\left\{ 2, 4, 6, 8, 10 \right\}}$

c) $A \cup \overline{B}=\;$ interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\left\{ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2 \right\}}$

d) $(A \cap B) \cup C=\;$ interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\left\{ 12, 13, 14, 2, 4, 6, 8, 10, 16, 18, 20, 22 \right\}}$

Score: 0/6

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Ensemble : unions, intersections et complémentaires

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