[tex]e)\,\,\,\, E = \left\{x \in \mathbb{Z}\,\big|\,-3\,|\,x\,\text{ si }\,|2x-1|< 19\right\}[/tex]
① -3 | x ⇒ x = M₃
② |2x-1| < 19 ⇒ -19 < 2x-1 < 19 |+1 ⇔
⇔ -18 < 2x < 20 |:2 ⇔ -9 < x < 10
Din ① și ② ⇒ E ∈ {-6; -3; 0; 3; 6; 9}
[tex] \\ [/tex]
[tex]f)\,\,\,\, F = \left\{x \in \mathbb{Z} \left|\dfrac{13}{x+2}\right. \in \mathbb{N}\right\}[/tex]
x+2 ∈ D₁₃⁺ ⇒ x+2 ∈ {1; 13} |-2 ⇔
⇔ x ∈ {1-2; 13-2} ⇔ x ∈ {-1; 11}
⇒ F ∈ {-1; 11}
