Simpson Gough
09/04/2024 · Elementary School
Dati \( A=\left\{x \in \mathbb{Z} \mid x^{2} \leq 100\right\}, B=\{x \in \mathbb{N} \mid x \) è un numero primo minore di 11\( \} \) e \( C=\{x \in \mathbb{Z} \mid-7 \leq x<10\} \), determina i seguenti insiemi, dove i complementari di \( B \) e \( C \) sono rispetto ad \( A \). \( \begin{array}{lll}\text { a. } \bar{C} \times B & \text { b. } \bar{B} \cup C \times B & \text { c. }(\bar{B}-\bar{C}) \times(B-C)\end{array} \)
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a. \( \bar{C} \times B = \{(10, 2), (10, 3), (10, 5), (10, 7)\} \)
b. \( \bar{B} \cup C \times B \) è l'unione di \( \bar{B} \) e \( C \times B \)
c. \( (\bar{B} - \bar{C}) \times (B - C) \) è l'insieme dei prodotti come calcolato sopra.
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