Question

Dados os conjuntos:
A= {x ∈ Z/-3 ≤ x < 3}
 B= {x ∈ Z/ -2 ≤ x < 4} 
 C= {x ∈ R/ -3 ≤ x <3}
 D= {x ∈ R/ -2 ≤ x < 4}
Determine:
A) A ∩ B
B) B - A
C)A U B
D) C ∩ D
E) D - C
F)C U D

Answer 1

A=-3,-2,-1,0,1,2

B=-2,-1,0,1,2,3

C=-3,-2,-1,0,1,2

D=-2,-1,0,1,2,3

a) que estão repetindo em A e B : {-2,-1,0,1,2}

b)B-A : {3}

c) {-3,-2,-1,0,1,2,3}

d) {-2,-1,0,1,2}

e) {3}

f) {-3,-2,-1,0,1,2,3}

Answer 2

a) $A=\{x\in\mathbb{Z}~|~-3\le\ x<3\}$.

$B=\{x\in\mathbb{Z}~|~-2\le\ x\le<4\}$.

Assim, $A=\{-3,-2,-1,0,1,2\}$ e $B=\{-2,-1,0,1,2,3\}$ e 

$A\cap\ B=\{-2,-1,0,1,2\}$.

b) $B-A=\{3\}$.

c) $A\cup\ B=\{-3,-2,-1,0,1,2,3\}$.

d) $C=\{x\in\mathbb{R}~|~-3\le\ x<3\}$.

$D=\{x\in\mathbb{R}~|~-2\le\ x<4\}$.

$C\cap\ D=\{x\in\mathbb{R}~|~-2\le\ x<3\}$.

e) $D-C=\{x\in\mathbb{R}~|~3<x<4\}$.

f) $C\cup\ D=\{x\in\mathbb{R}~|~-3\le x<4\}$