{"id":927,"date":"2023-07-28T07:14:37","date_gmt":"2023-07-28T07:14:37","guid":{"rendered":"https:\/\/statorials.org\/id\/operasi-keseluruhan\/"},"modified":"2023-07-28T07:14:37","modified_gmt":"2023-07-28T07:14:37","slug":"operasi-keseluruhan","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/operasi-keseluruhan\/","title":{"rendered":"Operasi pada himpunan: gabungan, perpotongan, komplemen, dan selisih"},"content":{"rendered":"

<\/p>\n

\n

Himpunan<\/strong> adalah kumpulan elemen.<\/span><\/p>\n

Kita menandai suatu himpunan dengan huruf kapital dan mendefinisikan elemen-elemen himpunan tersebut dengan menggunakan tanda kurung kurawal. Misalnya, kita mempunyai himpunan bernama “A” dengan elemen 1, 2, 3. Kita akan menuliskannya sebagai berikut:<\/span><\/p>\n

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

Tutorial ini menjelaskan operasi himpunan<\/strong> yang paling umum digunakan dalam probabilitas dan statistik.<\/span><\/p>\n

Persatuan<\/strong><\/span> <\/h3>\n

\"Operasi<\/p>\n

Definisi:<\/strong> Gabungan<\/em> himpunan A dan B adalah himpunan yang anggota-anggotanya terdapat di A atau di B.<\/span><\/p>\n

Peringkat:<\/strong> A \u222a B<\/span><\/p>\n

Contoh:<\/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

    Persimpangan<\/strong><\/span> <\/h3>\n

    \"Operasi<\/p>\n

    Definisi:<\/strong> Perpotongan<\/em> himpunan A dan B adalah himpunan yang anggotanya terdapat pada A dan B.<\/span><\/p>\n

    Notasi:<\/strong> A \u2229 B<\/span><\/p>\n

    Contoh:<\/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

      Melengkapi<\/strong> <\/h3>\n

      \"Operasi<\/p>\n

      Definisi:<\/strong> Komplemen<\/em> himpunan A adalah himpunan anggota-anggota yang termasuk dalam himpunan semesta U tetapi tidak termasuk dalam A.<\/span><\/p>\n

      Peringkat:<\/strong> A’ atau Ac<\/sup><\/span><\/p>\n

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

        \n
      • Jika U = {1, 2, 3, 4, 5, 6} dan A = {1, 2}, maka A c<\/sup> = {3, 4, 5, 6}<\/span><\/li>\n
      • Jika U = {1, 2, 3} dan A = {1, 2}, maka A c<\/sup> = {3}<\/span><\/li>\n<\/ul>\n

        Perbedaan<\/strong> <\/h3>\n

        \"Operasi<\/p>\n

        Definisi:<\/strong> Selisih<\/em> himpunan A dan B adalah himpunan yang anggotanya terdapat di A tetapi tidak terdapat di B.<\/span><\/p>\n

        Peringkat:<\/strong> A\u2013B<\/span><\/p>\n

        Contoh:<\/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

          Perbedaan simetris<\/strong> <\/h3>\n

          \"Perbedaan<\/p>\n

          Definisi:<\/strong> Beda simetris<\/em> himpunan A dan B adalah himpunan yang anggotanya terdapat pada A atau B, tetapi tidak keduanya.<\/span><\/p>\n

          Peringkat:<\/strong> A\u0394B<\/span><\/p>\n

          Contoh:<\/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

            produk kartesius<\/strong><\/span> <\/h3>\n

            \"Produk<\/p>\n

            Definisi:<\/strong> Hasil kali kartesius<\/em> himpunan A dan B adalah himpunan pasangan terurut A dan B.<\/span><\/p>\n

            Peringkat:<\/strong> A x B<\/span><\/p>\n

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

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

              Himpunan adalah kumpulan elemen. Kita menandai suatu himpunan dengan huruf kapital dan mendefinisikan elemen-elemen himpunan tersebut dengan menggunakan tanda kurung kurawal. Misalnya, kita mempunyai himpunan bernama “A” dengan elemen 1, 2, 3. Kita akan menuliskannya sebagai berikut: SEBUAH = {1, 2, 3} Tutorial ini menjelaskan operasi himpunan yang paling umum digunakan dalam probabilitas dan statistik. […]<\/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":[],"yoast_head":"\nOperasi pada himpunan: gabungan, perpotongan, komplemen, dan selisih<\/title>\n<meta name=\"description\" content=\"Pengenalan singkat tentang operasi himpunan, termasuk definisi dan contoh.\" \/>\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\/id\/operasi-keseluruhan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Operasi pada himpunan: gabungan, perpotongan, komplemen, dan selisih\" \/>\n<meta property=\"og:description\" content=\"Pengenalan singkat tentang operasi himpunan, termasuk definisi dan contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/operasi-keseluruhan\/\" \/>\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=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/operasi-keseluruhan\/\",\"url\":\"https:\/\/statorials.org\/id\/operasi-keseluruhan\/\",\"name\":\"Operasi pada himpunan: gabungan, perpotongan, komplemen, dan selisih\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T07:14:37+00:00\",\"dateModified\":\"2023-07-28T07:14:37+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Pengenalan singkat tentang operasi himpunan, termasuk definisi dan contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/operasi-keseluruhan\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/operasi-keseluruhan\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/operasi-keseluruhan\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Operasi pada himpunan: gabungan, perpotongan, komplemen, dan selisih\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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