Question

Ajutați-ma va rog la ex. 4
Dau 100 de puncte!!!

Answer 1

$A = \Big\{x \Big|x\in \mathbb{R},\, -\sqrt{10}<x<4,7\Big\} \\\\ B =\Big\{x\Big|x\in \mathbb{R},\, -\sqrt{13}<x<\sqrt{10}\Big\}\\ \\ A\cap \mathbb{N} = \{0,1,2,3,4\} \\ B\cap \mathbb{Z} = \{-3,-2,-1,0,1,2,3\}\\ \\ \text{Fiindca:}\\\\-\sqrt{10}<x<4,7 \Leftrightarrow -3,\text{(ceva)}<x<4,7\\ -\sqrt{13}<x<\sqrt{10} \Leftrightarrow -3,\text{(ceva)}<x<3,\text{(ceva)}$