{"id":6646,"date":"2020-06-03T08:33:00","date_gmt":"2020-06-03T01:33:00","guid":{"rendered":"https:\/\/example.com\/?p=6646"},"modified":"2023-12-04T13:03:52","modified_gmt":"2023-12-04T06:03:52","slug":"jenis-jenis-kalimat-kajemuk-pada-logika","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/jenis-jenis-kalimat-kajemuk-pada-logika","title":{"rendered":"Jenis-jenis Kalimat Majemuk pada Logika | Matematika Kelas 11"},"content":{"rendered":"

\"Matematika_11.jpg\"
<\/span><\/span><\/p>\n

Tahukah kamu, belajar logika<\/span> matematika<\/a><\/strong> dapat meningkatkan kemampuan menalar kita, <\/span><\/span>lho<\/span><\/i>. Dampak positifnya, kita mudah menarik kesimpulan yang benar dan mampu menyelesaikan masalah yang lebih kompleks. Berguna sekali untuk kehidupan sehari-hari, <\/span>kan<\/span><\/i>? Nah<\/em>, berikut ini akan dibahas tentang beberapa macam kalimat yang digunakan dalam penalaran. Salah satunya yaitu kalimat majemuk. Kira-kira, bagaimana ya memahaminya? Simak yuk<\/em>!<\/span><\/span><\/span><\/p>\n

<\/p>\n

1. Pernyataan atau Kalimat Terbuka<\/strong><\/span><\/h2>\n

<\/p>\n

Pernyataan adalah kalimat yang hanya memiliki satu nilai, benar atau salah. Pernyataan tidak bisa sekaligus benar dan salah. Dalam matematika lambang pernyataan dengan huruf kecil seperti a, b, p, q, dan r.<\/span><\/p>\n

Kalimat terbuka adalah kalimat yang mengandung variabel, sehingga belum dapat ditentukan nilai kebenarannya (benar atau salah).<\/span><\/p>\n

\"kalimat<\/span><\/span><\/p>\n

2. Pernyataan Majemuk<\/strong><\/span><\/h2>\n

Pernyataan majemuk memiliki lebih dari satu pernyataan dalam satu kalimat. Di antara satu pernyataan dengan pernyataan lainnya dibutuhkan kata penghubung. <\/span>Nah<\/span><\/i>, kata penghubung pada pernyataan majemuk di dalam logika matematika ini ada beberapa jenis, yaitu: negasi, disjungsi, konjungsi, implikasi, dan biimplikasi.<\/span><\/span><\/p>\n

Berikut penjelasan dari masing-masing kata penghubung pada pernyataan majemuk, yaitu:<\/span><\/p>\n

Ingkaran atau negasi atau penyangkalan (~)<\/span> atau -)<\/strong><\/span><\/p>\n

Ingkaran atau negasi merupakan kebalikan atau lawan dari suatu pernyataan. Jika diketahui pernyataan p, maka ingkarannya adalah ~p dan sebaliknya. Nilai kebenaran dapat dituliskan dalam bentuk tabel sebagai berikut:<\/span><\/span><\/p>\n

\"Rumus<\/span><\/p>\n

Contoh : Ingkaran dari \u201cSaya sudah mandi\u201d adalah \u2026<\/span><\/p>\n

Jawab   : p = Saya <\/span>sudah<\/strong> mandi (kata <\/span>sudah<\/span> diingkar menjadi <\/span>belum<\/span>)                 <\/span>    <\/span><\/span><\/p>\n

                ~p = Saya <\/span>belum<\/strong> mandi<\/span><\/span> <\/span><\/p>\n

Konjungsi (^)<\/strong><\/span><\/span><\/p>\n

Konjungsi adalah kata penghubung yang menggunakan kata \u201cdan\u201d, disimbolkan dengan ^. Nilai kebenaran pada konjungsi yaitu: jika p dan q merupakan dua pernyataan. Maka p^q bernilai benar jika p dan q keduanya bernilai benar, sebaliknya p^q bernilai salah, jika salah satu dari p atau q bernilai salah atau keduanya bernilai salah. Lihat tabelnya ya!<\/span> <\/span><\/i><\/span><\/span><\/p>\n

\"Rumus<\/span><\/span><\/span><\/p>\n

Contoh : Nilai kebenaran dari \u201c2 adalah bilangan prima dan 3 adalah bilangan ganjil\u201d<\/span><\/p>\n

Jawab :<\/span><\/p>\n

Pernyataan p = 2 adalah bilangan prima (<\/span>BENAR<\/strong>)<\/span><\/span><\/p>\n

Pernyataan q = 3 adalah bilangan ganjil (<\/span>BENAR<\/strong>)<\/span><\/span><\/p>\n

Karena p dan q bernilai BENAR, maka pernyataan p^q bernilai <\/span>BENAR<\/strong>.<\/span><\/span><\/p>\n

Wah<\/em>, mudah ya mempelajari logika matematika? Pasti kamu bisa <\/span>kan<\/span><\/i>? Tentunya materi ini masih akan terus berlanjut, tunggu artikel selanjutnya ya! Mau belajar dengan Master Teacher<\/em>? Ada video animasi yang keren juga lho<\/em>. Daftar<\/span><\/span> <\/a>ruangbelajar<\/strong><\/a> yuk<\/em>!<\/span><\/span>
<\/span><\/p>\n

\"ruangbelajar\"<\/a><\/span><\/p>\n

Sumber Referensi <\/strong><\/p>\n

Sharma S. N, Widiastuti N, Himawan C, dkk (2017) Jelajah Matematika SMA Kelas XI Program Wajib. Jakarta:Yudisthira<\/p>\n

 <\/p>\n

 <\/p>\n

Artikel diperbahui 21 Januari 2021<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"

Tahukah kamu, belajar logika matematika dapat meningkatkan kemampuan menalar kita, lho. Dampak positifnya, kita mudah menarik kesimpulan yang benar dan mampu menyelesaikan masalah yang lebih kompleks. Berguna sekali untuk kehidupan sehari-hari, kan? Nah, berikut ini akan dibahas tentang beberapa macam kalimat yang digunakan dalam penalaran. Salah satunya yaitu kalimat majemuk. Kira-kira, bagaimana ya memahaminya? Simak […]<\/p>\n","protected":false},"author":82,"featured_media":6646,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_11.jpg"],"_edit_last":["1"],"_edit_lock":["1701669832:1"]},"categories":[467,475],"tags":[31,10,133,37],"class_list":["post-6646","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-sma-kelas-11","tag-kelas-11","tag-konsep-pelajaran","tag-matematika-xi","tag-sma"],"aioseo_notices":[],"yoast_head":"\nJenis-jenis Kalimat Majemuk pada Logika | Matematika Kelas 11 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/staging-blog.sirogu.com\/blog\/jenis-jenis-kalimat-kajemuk-pada-logika\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jenis-jenis Kalimat Majemuk pada Logika | Matematika Kelas 11 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"Tahukah kamu, belajar logika matematika dapat meningkatkan kemampuan menalar kita, lho. 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