Question

Enumerate elementele multimilor A={x| 20/x e N} B={x|x e M2 sau x e M5} Calculati AnB

Answer 1

Răspuns:

Explicație pas cu pas:

A={1,2,4,5,10,20}

B={2,4,6,8,12.....5,10.15,20,25.....}

A∩B={2,4,5,10,20}

Answer 2

$A = \left\{x\,|\, \frac{20}{x}\in \mathbb{N}\right\}$

$\to x \in D_{20}^+ \Rightarrow x\in \{1,2,4,5,10,20\}$

$B = \left\{x\,|\,x\in M_2 \,\,\text{sau}\,\,x\in M_5 \right\}$

$\to x\in \{0,2,4,6,8,...\}\cup \{0,5,10,15,20,...\}$

Înseamnă că:

• $A = \{1,2,4,5,10,20\}$

• $B = \{0,2,4,5,6,8,10,12,14,15,16,18,20,...\}$

Răspuns:

$\boxed{A \cap B = \{2,4,5,10,20\}}$