Question

URGENTE!!!!!!

Dados os conjuntos A={ x Ꞓ IR / - 1 ≤ x ≤ 2 } , B= [ 0 ; 3 [ , C= { x Ꞓ IR / 1 < x < 5 } e D = ] 2 ; 7 ]. Determine as seguintes operações de intervalos numéricos:

a)AꓴB b)CꓴD c)BꓵD d)AꓵC e)AꓴBꓴCꓴD f)AꓵBꓵCꓵD​

Answer 1

Resposta:

$\text{Leia abaixo}$

Explicação passo-a-passo:

$\text{A = \{ -1, 0, 1, 2 \}}$

$\text{B = \{ 0, 1, 2 \}}$

$\text{C = \{ 0, 1, 2, 3, 4 \}}$

$\text{D = \{ 1, 2, 3, 4, 5, 6, 7 \}}$

a.

$\text{A} \cup \text{B = \{ -1, 0, 1, 2 \}}$

b.

$\text{C} \cup \text{D = \{ 0, 1, 2, 3, 4, 5, 6, 7 \}}$

c.

$\text{B} \cap \text{D = \{ 1, 2 \}}$

d.

$\text{A} \cap \text{C = \{ 0, 1, 2 \}}$

e.

$\text{A} \cup \text{B} \cup \text{C} \cup \text{D = \{ -1, 0, 1, 2, 3, 4, 5, 6, 7 \}}$

f.

$\text{A} \cap \text{B} \cap \text{C} \cap \text{D = \{ 1, 2 \}}$

Answer 2

Explicação passo-a-passo:

• $\sf A=[-1,2]$

• $\sf B=[0,3[$

• $\sf C=]1,5[$

• $\sf D=]2,7]$

a)

$\sf A\cup B=[-1,3[$

$\sf A\cup B=\{x\in\mathbb{R}~|-1 \le x < 3\}$

b)

$\sf C\cup D=]1,7]$

$\sf C\cup D=\{x\in\mathbb{R}~|~1 < x \le 7\}$

c)

$\sf B\cap D=]2,3[$

$\sf B\cap D=\{x\in\mathbb{R}~|~2 < x < 3\}$

d)

$\sf A\cap C=]1,2]$

$\sf A\cap C=\{x\in\mathbb{R}~|~1 < x \le 2\}$

e)

$\sf A\cup B\cup C\cup D=[-1,7]$

$\sf A\cup B\cup C\cup D=\{x\in\mathbb{R}~|-1 \le x \le 7\}$

f)

$\sf A\cap B\cap C\cap D=\{~\}$

$\sf A\cap B\cap C\cap D=\emptyset$