Dados os conjuntos A = { -3, -2, 0, 1}, B = { -1, 0, 1, 2, 3} e C = { -2, -1, 0, 4, 5}. Determinando: (A U C) - B, encontramos: *
(a) {-2, -1, 4, 5}
(b) {-3, -1, 2, 3}
(c) {-3, -2, 4, 5}
(d) {-3, -1, 0, 3}
(e) { -1, 0, 4, 5
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Resposta:
c) {-3, -2, 4, 5}
Explicação passo a passo:
Inicialmente realiza-se a operação envolvendo o processo de união, demonstrado em (A U C), que se lê "A união com C". Assim, os elementos são reunidos em um único conjunto:
(A U C) = { -3, -2, 0, 1} + { -2, -1, 0, 4, 5} = { -3, -2, -1, 0, 1, 4, 5}
Em seguida, retira-se do conjunto (A U C) o B, isto é, os elementos que aparecem na união e no B serão removidos do conjunto final. Portanto:
(A U C) - B = { -3, -2, -1, 0, 1, 4, 5} - { -1, 0, 1, 2, 3} = {-3, -2, 4, 5}
Como o -3, -2, 4 e 5 não aparecem no conjunto B, eles permanecem. Além disso, perceba que não houve soma ou subtração algébrica entre os números, ocorreu, na verdade, a remoção deles. Isso se deve ao fato deles serem tratados como elementos!
Espero ter ajudado :)