{"id":925,"date":"2023-07-28T07:14:37","date_gmt":"2023-07-28T07:14:37","guid":{"rendered":"https:\/\/statorials.org\/pt\/operacoes-gerais\/"},"modified":"2023-07-28T07:14:37","modified_gmt":"2023-07-28T07:14:37","slug":"operacoes-gerais","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/operacoes-gerais\/","title":{"rendered":"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a"},"content":{"rendered":"

<\/p>\n

\n

Um conjunto<\/strong> \u00e9 uma cole\u00e7\u00e3o de elementos.<\/span><\/p>\n

Designamos um conjunto com letra mai\u00fascula e definimos os elementos do conjunto usando chaves. Por exemplo, suponha que temos um conjunto chamado \u201cA\u201d com os elementos 1, 2, 3. Escrever\u00edamos isso da seguinte forma:<\/span><\/p>\n

UMA = {1, 2, 3}<\/strong><\/span><\/p>\n

Este tutorial explica as opera\u00e7\u00f5es de conjunto<\/strong> mais comumente usadas em probabilidade e estat\u00edstica.<\/span><\/p>\n

Uni\u00e3o<\/strong><\/span> <\/h3>\n

\"Opera\u00e7\u00e3o<\/p>\n

Defini\u00e7\u00e3o:<\/strong> A uni\u00e3o<\/em> dos conjuntos A e B \u00e9 o conjunto de elementos encontrados em A ou em B.<\/span><\/p>\n

Classifica\u00e7\u00e3o:<\/strong> A \u222a B<\/span><\/p>\n

Exemplos:<\/strong><\/span><\/p>\n

    \n
  • {1, 2, 3} \u222a {4, 5, 6} = {1, 2, 3, 4, 5, 6}<\/span><\/li>\n
  • {1, 2} \u222a {1, 2} = {1, 2}<\/span><\/li>\n
  • {1, 2, 3} \u222a {3, 4} = {1, 2, 3, 4}<\/span><\/li>\n<\/ul>\n

    Interse\u00e7\u00e3o<\/strong><\/span> <\/h3>\n

    \"Opera\u00e7\u00e3o<\/p>\n

    Defini\u00e7\u00e3o:<\/strong> A interse\u00e7\u00e3o<\/em> dos conjuntos A e B \u00e9 o conjunto de elementos encontrados em A e B.<\/span><\/p>\n

    Nota\u00e7\u00e3o:<\/strong> A \u2229 B<\/span><\/p>\n

    Exemplos:<\/strong><\/span><\/p>\n

      \n
    • {1, 2, 3} \u2229 {4, 5, 6} = {\u2205}<\/span><\/li>\n
    • {1, 2} \u2229 {1, 2} = {1, 2}<\/span><\/li>\n
    • {1, 2, 3} \u2229 {3, 4} = {3}<\/span><\/li>\n<\/ul>\n

      Complemento<\/strong> <\/h3>\n

      \"Opera\u00e7\u00e3o<\/p>\n

      Defini\u00e7\u00e3o:<\/strong> O complemento<\/em> do conjunto A \u00e9 o conjunto de elementos que est\u00e3o no conjunto universal U, mas n\u00e3o est\u00e3o em A.<\/span><\/p>\n

      Classifica\u00e7\u00e3o:<\/strong> A’ ou Ac<\/sup><\/span><\/p>\n

      Exemplos:<\/strong><\/span><\/p>\n

        \n
      • Se U = {1, 2, 3, 4, 5, 6} e A = {1, 2}, ent\u00e3o A c<\/sup> = {3, 4, 5, 6}<\/span><\/li>\n
      • Se U = {1, 2, 3} e A = {1, 2}, ent\u00e3o A c<\/sup> = {3}<\/span><\/li>\n<\/ul>\n

        Diferen\u00e7a<\/strong> <\/h3>\n

        \"Opera\u00e7\u00e3o<\/p>\n

        Defini\u00e7\u00e3o:<\/strong> A diferen\u00e7a<\/em> entre os conjuntos A e B \u00e9 o conjunto de elementos encontrados em A, mas n\u00e3o em B.<\/span><\/p>\n

        Avalia\u00e7\u00f5es:<\/strong> A \u2013 B<\/span><\/p>\n

        Exemplos:<\/strong><\/span><\/p>\n

          \n
        • {1, 2, 3} \u2013 {2, 3, 4} = {1}<\/span><\/li>\n
        • {1, 2} \u2013 {1, 2} = {\u2205}<\/span><\/li>\n
        • {1, 2, 3} \u2013 {4, 5} = {1, 2, 3}<\/span><\/li>\n<\/ul>\n

          Diferen\u00e7a sim\u00e9trica<\/strong> <\/h3>\n

          \"Diferen\u00e7a<\/p>\n

          Defini\u00e7\u00e3o:<\/strong> A diferen\u00e7a sim\u00e9trica<\/em> dos conjuntos A e B \u00e9 o conjunto de elementos encontrados em A ou B, mas n\u00e3o em ambos.<\/span><\/p>\n

          Classifica\u00e7\u00e3o:<\/strong> A\u0394B<\/span><\/p>\n

          Exemplos:<\/strong><\/span><\/p>\n

            \n
          • {1, 2, 3} \u0394 {2, 3, 4} = {1, 4}<\/span><\/li>\n
          • {1, 2} \u0394 {1, 2} = {\u2205}<\/span><\/li>\n
          • {1, 2, 3} \u0394 {4, 5} = {1, 2, 3, 4, 5}<\/span><\/li>\n<\/ul>\n

            produto cartesiano<\/strong><\/span> <\/h3>\n

            \"Produto<\/p>\n

            Defini\u00e7\u00e3o:<\/strong> O produto cartesiano<\/em> dos conjuntos A e B \u00e9 o conjunto dos pares ordenados de A e B.<\/span><\/p>\n

            Classifica\u00e7\u00e3o:<\/strong> A x B<\/span><\/p>\n

            Exemplos:<\/strong><\/span><\/p>\n

              \n
            • Se A = {H, T} e B = {1, 2, 3}, ent\u00e3o A x B = {(H, 1), (H, 2), (H, 3), (T, 1), ( T, 2), (T, 3)}<\/span><\/li>\n
            • Se A = {T, H} e B = {1, 2, 3}, ent\u00e3o A x B = {(T, 1), (T, 2), (T, 3), (H, 1), ( H, 2), (H, 3)}<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

              Um conjunto \u00e9 uma cole\u00e7\u00e3o de elementos. Designamos um conjunto com letra mai\u00fascula e definimos os elementos do conjunto usando chaves. Por exemplo, suponha que temos um conjunto chamado \u201cA\u201d com os elementos 1, 2, 3. Escrever\u00edamos isso da seguinte forma: UMA = {1, 2, 3} Este tutorial explica as opera\u00e7\u00f5es de conjunto mais comumente […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-925","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"\nOpera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a<\/title>\n<meta name=\"description\" content=\"Uma introdu\u00e7\u00e3o suave \u00e0s opera\u00e7\u00f5es de conjunto, incluindo defini\u00e7\u00f5es e exemplos.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/operacoes-gerais\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a\" \/>\n<meta property=\"og:description\" content=\"Uma introdu\u00e7\u00e3o suave \u00e0s opera\u00e7\u00f5es de conjunto, incluindo defini\u00e7\u00f5es e exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/operacoes-gerais\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T07:14:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops1.png\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/operacoes-gerais\/\",\"url\":\"https:\/\/statorials.org\/pt\/operacoes-gerais\/\",\"name\":\"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-28T07:14:37+00:00\",\"dateModified\":\"2023-07-28T07:14:37+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Uma introdu\u00e7\u00e3o suave \u00e0s opera\u00e7\u00f5es de conjunto, incluindo defini\u00e7\u00f5es e exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/operacoes-gerais\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/operacoes-gerais\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/operacoes-gerais\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais\",\"sameAs\":[\"https:\/\/statorials.org\/pt\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a","description":"Uma introdu\u00e7\u00e3o suave \u00e0s opera\u00e7\u00f5es de conjunto, incluindo defini\u00e7\u00f5es e exemplos.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/pt\/operacoes-gerais\/","og_locale":"pt_PT","og_type":"article","og_title":"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a","og_description":"Uma introdu\u00e7\u00e3o suave \u00e0s opera\u00e7\u00f5es de conjunto, incluindo defini\u00e7\u00f5es e exemplos.","og_url":"https:\/\/statorials.org\/pt\/operacoes-gerais\/","og_site_name":"Statorials","article_published_time":"2023-07-28T07:14:37+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/setops1.png"}],"author":"Dr. benjamim anderson","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Dr. benjamim anderson","Tempo estimado de leitura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pt\/operacoes-gerais\/","url":"https:\/\/statorials.org\/pt\/operacoes-gerais\/","name":"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a","isPartOf":{"@id":"https:\/\/statorials.org\/pt\/#website"},"datePublished":"2023-07-28T07:14:37+00:00","dateModified":"2023-07-28T07:14:37+00:00","author":{"@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666"},"description":"Uma introdu\u00e7\u00e3o suave \u00e0s opera\u00e7\u00f5es de conjunto, incluindo defini\u00e7\u00f5es e exemplos.","breadcrumb":{"@id":"https:\/\/statorials.org\/pt\/operacoes-gerais\/#breadcrumb"},"inLanguage":"pt-PT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pt\/operacoes-gerais\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pt\/operacoes-gerais\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Lar","item":"https:\/\/statorials.org\/pt\/"},{"@type":"ListItem","position":2,"name":"Opera\u00e7\u00f5es em conjuntos: uni\u00e3o, intersec\u00e7\u00e3o, complemento e diferen\u00e7a"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/pt\/#website","url":"https:\/\/statorials.org\/pt\/","name":"Statorials","description":"O seu guia para a literacia estat\u00edstica!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/pt\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pt-PT"},{"@type":"Person","@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666","name":"Dr. benjamim anderson","image":{"@type":"ImageObject","inLanguage":"pt-PT","@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr. benjamim anderson"},"description":"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais","sameAs":["https:\/\/statorials.org\/pt"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/925","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/comments?post=925"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/925\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/media?parent=925"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/categories?post=925"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/tags?post=925"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}