Question

dados os conjuntos A={0,1,2,3}, e B={0,2,4} e C=1,3,5} ,determine a) AUB= b)AnB= c)B-C d)(A-C)U(AnC)=​

Answer 1

a)

$A\cup B:~Uniao~dos~elementos~dos~conjuntos~A~e~B~(sem~repeticoes).\\\\\\\boxed{A\cup B~=~\{0~,~1~,~2~,~3~,~4\}}$

b)

$A\cap B:~Elementos~comuns~aos~conjuntos~A~e~B.\\\\\\\boxed{A\cap B~=~\{0~,~2\}}$

c) B-C (segundo o comentario do usuario na resposta)

$B-C:~Todos~elementos~que~pertencem~a~B~e~nao~pertencem~a~C\\\\\\\boxed{B-C:~\{0~,~2~,~4\}}$

d)

$A-C:~Todos~elementos~que~pertencem~a~A~e~nao~pertencem~a~C\\\\\\\boxed{A-C:~\{0~,~2\}}\\\\\\A\cap C:~Elementos~comuns~aos~conjuntos~A~e~C.\\\\\\\boxed{A\cap C~=~\{1~,~3\}}\\\\\\(A-C)\cup(A\cap C):~Uniao~dos~elementos~dos~conjuntos~(A-C)~e~(A\cap C)~(sem~repeticoes)\\\\\\\boxed{(A-C)\cup(A\cap C)~=~\{0~,~1~,~2~,~3\}}$