Question

Se A= { x ∈ N/ x é impar e 1≤ x ≤7} e B= { x ∈ N/ x é numero primo menor que 20} e C={ x∈ N / x é par e 0 ≤ x≤12}
AUB
A∩B
(AUB)UC
A-B
B-C
B-(AUB)
(C∩B) –A

Answer 1

Resposta:

AUB={1, 2, 3, 5, 7, 11, 13, 17, 19}

A∩B={3, 5, 7}

(AUB)UC={1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 17, 19}

A-B={1}

B-C={3, 5, 7, 11, 13, 17, 19}

B-(AUB)=∅

(C∩B)–A={2}

Explicação passo-a-passo:

Construindo os conjuntos:

A={1, 3, 5, 7}

B={2, 3, 5, 7, 11, 13, 17, 19}

C={2, 4, 6, 8, 10, 12}

AUB={1, 2, 3, 5, 7, 11, 13, 17, 19}

A∩B={3, 5, 7}

(AUB)UC={1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 17, 19}

A-B={1}

B-C={3, 5, 7, 11, 13, 17, 19}

B-(AUB)=∅

(C∩B)–A={2}