Răspuns:
[tex]x \in \{3;4;5;6;7;8;9\}[/tex]
Explicație pas cu pas:
[tex]\overline{83x2} = 8302 + 10x\\ \\ \overline{8x41} = 8041 + 100x\\ \\ 8302+10x < 8041 + 100x \Bigg | - 8041\\ \\ 261 + 10x < 100x \Bigg | -10x \\ \\ 261 < 90x \Bigg | \div 90 \\ \\ x > \frac{261}{90}, x\in \mathbb{N}\\ \\\implies x \geq 3\\ \\ \implies x \in \{3;4;5;6;7;8;9\}[/tex]
