Question

Determină elementele mulțimilor:

Answer 1

$\it \dfrac{19}{2x+3} \in \mathbb{Z} \Rightarrow 2x+3|19 \Rightarrow 2x+3 \in D_{19} \Rightarrow 2x+3\in\{-19, -1,\ 1,\ 19\}|_{-3}\Rightarrow \\ \\ \\ \Rightarrow 2x \in\{-22,\ -4,\ -2,\ 16\}|_{:2} \Rightarrow x\in\{ -11,\ \ -2,\ \ -1,\ \ 8\} =A$