Question

Me ajudem pfv!!!

Sendo os conjuntos A= { x € R| -3 ≤ x < 5} B= { x € R| x ≤ 2} e C= { x € R| -4 ≤ x ≤ 4}, determine:

a) ( A U C ) -B
b) A n B n C
C) C - A
d) ( A U B ) - ( A U C )
e) (B n C ) - A

Obs: preciso da resposta e dos cálculos de como resolver

Answer 1

Explicação passo-a-passo:

A= {-3,-2,-1,0,1,2,3,4}

B= {...,-4,-3,-2,-1,0,1,2}

os 3 pontos no começo quer dizer que a sequência negativa continua, ela é infinita.

ou seja tem -5,-6,-7 etc...

C= {-4,-3,-2,-1,0,1,2,3,4}

a) ( A U C) -B

AUC= {-4,-3,-2,-1,0,1,2,3,4}

(AUC)-B= {3,4}

b) A n B n C

AnB= {-3,-2,-1,0,1,2}

AnBnC= {-3,-2,-1,0,1,2}

c) C - A

C-A= {-4}

d) ( A U B ) - ( A U C)

AUB= {...,-4,-3,-2,-1,0,1,2,3,4}

AUC= {-4,-3,-2,-1,0,1,2,3,4}

(AUB)-(AUC)= {...,-5}

e) ( B n C) - A

BnC= {-4,-3,-2,-1,0,1,2}

(BnC)-A= {-4}