Naloge

1.

$\mathcal{U}=\{4,5\}$

$6 \in \mathcal{A}$

$6 \not\in \mathcal{B}$

$\mathcal{B}=\{ \ \}$

$m(\mathcal{A})>m(\mathcal{B})$

2.

$m(\mathcal{B})=\not{0}$

$3 \in \mathcal{U}$

$\mathcal{U}=\{1,2,3,4,5,6,7,8,9,10, \ ...\}$

3.

$\mathcal{A}=\{n; (n \in \mathbb{N}) \wedge (3< n \leq 6)\}=$ {4,5,6}

$\mathcal{B}=\{2n; (n \in \mathbb{N}) \wedge (n < 5)\}=$ {2,4,6,8}

$\mathcal{C}=\{3n+1; (n \in \mathbb{N}) \wedge (n | 5)\}=$ {4,16}

$\mathcal{D}=\{n; (n \in \mathbb{N}) \wedge (3 | n) \wedge (n < 12)\}=$ {3,6,9}

4.

$\mathcal{A}=\{n; (n \in \mathbb{Z}) \wedge (n^2=1)\}=$ {-1,1}

$\mathcal{B}=\{2n; (n \in \mathbb{Z}) \wedge (n^2=9)\}=$ {-6,6}

$\mathcal{C}=\{3n+1; (n \in \mathbb{N}) \wedge (-2 < n < 2)\}=$ {4}

$\mathcal{D}=\{2^n; (n \in \mathbb{N}_3) \wedge (n^2=9) \}=$ {8}