Question

Consideram multima A={-1;√2;1,(4);$\frac{1}{3}$;√12,$\pi$;-√0,01}.Care dintre multimile A intersectat cu Q si A intersectat (R\Q) are mai multe elemente?

Answer 1

[tex]A \cap \mathbb{Q}=\lbrace -1;1,(4);\dfrac{1}{3}; \sqrt{0,01} \rbrace\\ A \cap \mathbb{R-Q}=\lbrace \sqrt2,\sqrt{12}, \pi \rbrace \\ card (A \cap \mathbb{Q})=4 \; ; \; card (A \cap \mathbb{R-Q})=3\\ 4>3 \Rightarrow card (A\cap \mathbb{Q}) > card (A \cap \mathbb{R-Q})[/tex]

Mulțimea $A \cap \mathbb{Q}$ are mai multe elemente.