Vargas Goodwin
09/05/2024 · Middle School

relazione \( \mathscr{R} \) in esso definita. \( \begin{array}{l}21=\{x: x \in \mathbb{N}, x<5\} \\ x \mathscr{R} y \text { se «dividendo } x \text { per } y \text { si ha come resto } 1 . \\ \text { con } x, y \in \mathbf{A} \\ 22 \mathrm{~A}=\{2,12,15,17,21,25\}\end{array} \)

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La relazione \( \mathscr{R} \) è definita come segue: - \( 21 = \{x: x \in \mathbb{N}, x < 5\} \) - \( x \mathscr{R} y \) se "dividendo \( x \) per \( y \) si ha come resto 1" con \( x, y \in \mathbf{A} \) - \( \mathbf{A} = \{2, 12, 15, 17, 21, 25\} \) Per determinare i valori di \( x \) e \( y \) che soddisfano la relazione \( x \mathscr{R} y \), dobbiamo trovare i valori di \( x \) e \( y \) appartenenti a \( \mathbf{A} \) tali che il resto della divisione di \( x \) per \( y \) sia 1. Dato che \( \mathbf{A} = \{2, 12, 15, 17, 21, 25\} \), possiamo verificare i valori di \( x \) e \( y \) in questo insieme per trovare i valori che soddisfano la relazione \( x \mathscr{R} y \).

Quick Answer

La relazione \( \mathscr{R} \) è definita per \( x, y \in \mathbf{A} \) come \( x \mathscr{R} y \) se il resto della divisione di \( x \) per \( y \) è 1. \( \mathbf{A} = \{2, 12, 15, 17, 21, 25\} \).
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