{"id":7279,"date":"2020-03-02T08:41:00","date_gmt":"2020-03-02T01:41:00","guid":{"rendered":"https:\/\/example.com\/?p=7279"},"modified":"2023-12-04T13:04:24","modified_gmt":"2023-12-04T06:04:24","slug":"wajib-tahu-3-kata-penghubung-pada-logika-matematika-sma","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/wajib-tahu-3-kata-penghubung-pada-logika-matematika-sma","title":{"rendered":"3 Kata Penghubung pada Logika Matematika | Matematika Kelas 11"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_11.jpg\" alt=\"Matematika_11.jpg\" style=\"display: block; margin-left: auto; margin-right: auto;\" width=\"821\" height=\"410\"><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\"><span style=\"color: #000000;\"><em>Hai<\/em>! Sebelumnya, kita sudah membahas mengenai<\/span> <strong>ingkaran dan konjungsi<\/strong> <span style=\"color: #000000;\">yang merupakan kata penghubung dalam kalimat majemuk pada logika matematika SMA. Apa kamu sudah menyimak materi tersebut? <em>Nah<\/em>, ternyata masih ada 3 jenis kata penghubung lainnya, <\/span><\/span><span style=\"color: #000000;\"><i><span style=\"font-weight: 400;\">lho<\/span><\/i><span style=\"font-weight: 400;\">. Apa sajakah itu? <\/span><i><span style=\"font-weight: 400;\">Keep scrolling<\/span><\/i><span style=\"font-weight: 400;\">!<\/span> <span style=\"font-weight: 400;\">&nbsp;<\/span><\/span><\/p>\n<h2 style=\"font-size: 24px;\"><!--more--><\/h2>\n<h2 style=\"font-size: 24px;\"><span style=\"color: #000080;\"><strong style=\"background-color: transparent;\"><strong>1. Disjungsi (\u2228<\/strong><strong>)<\/strong><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">Disjungsi adalah kata penghubung yang menggunakan kata <\/span><strong>atau<\/strong><span style=\"font-weight: 400;\"> yang disimbolkan dengan \u2228.<\/span><strong>&nbsp;<\/strong><span style=\"font-weight: 400;\">Jika dua pernyataan p atau q, maka p\u2228<\/span><span style=\"font-weight: 400;\">q. Bernilai benar jika p dan q keduanya bernilai benar, atau salah satu dari p atau q bernilai benar. Sebaliknya p\u2228<\/span>q &nbsp;bernilai salah jika keduanya bernilai salah. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<strong>&nbsp; &nbsp; &nbsp; &nbsp;<\/strong><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"text-decoration: underline; color: #000000;\"><span style=\"font-weight: 400;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/LOG.png\" alt=\"logika matematika\" style=\"width: 620px;\" title=\"logika matematika\" caption=\"false\" data-constrained=\"true\" width=\"620\"><br \/><\/span><\/span><\/p>\n<p><span style=\"color: #000000; line-height: 1em;\"><strong>Contoh :<\/strong><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">Nilai kebenaran dari b<\/span><span style=\"font-weight: 400;\">ilangan prima 4 habis dibagi 3 atau 4 habis dibagi 2<\/span><span style=\"font-weight: 400;\"> adalah &#8230;.<\/span><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000; line-height: 1em;\"><strong>Jawab :<\/strong><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400; color: #000000;\">Pernyataan pertama: p = Bilangan prima 4 habis dibagi 3 (bernilai salah)<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400; color: #000000;\">Pernyataan pertama: q = 4 habis dibagi 2 (bernilai benar)<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400; line-height: 1em;\">Karena <strong>p bernilai salah<\/strong> dan <strong>q bernilai benar<\/strong> maka pernyataan<strong> p\u2228<\/strong><\/span><span style=\"font-weight: 400; line-height: 1em;\"><strong>q bernilai benar<\/strong>.<\/span><\/span><\/p>\n<h2 style=\"font-size: 24px;\"><span style=\"color: #000080; line-height: 1em;\"><strong style=\"background-color: transparent;\">2. Implikasi (<span style=\"font-weight: 400;\">-&gt;<\/span>)<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">Implikasi adalah kata penghubung pada pernyataan majemuk dengan kata penghubung<strong> j<\/strong><\/span><strong>ika \u2026, maka \u2026<\/strong> <span style=\"font-weight: 400;\">Jika p dan q merupakan dua buah pernyataan, maka p -&gt; q akan bernilai salah jika p benar dan q salah. Kemudian, akan bernilai benar untuk kemungkinan yang lainnya dari pernyataan p -&gt; q.<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"text-decoration: underline; color: #000000;\"><span style=\"font-weight: 400; line-height: 1em;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/LOG1-3.png\" alt=\"logika matematika implikasi\" style=\"width: 640px;\" title=\"logika matematika\" caption=\"false\" data-constrained=\"true\" width=\"640\"><br \/><\/span><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000; line-height: 1em;\"><strong>Contoh :<\/strong><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400; color: #000000;\">Nilai kebenaran dari jika 2 + 3 = 5, maka 2 \u2013 3 = 5\u201d adalah\u2026<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000;\"><strong>Jawab :<\/strong><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">p = 2 + 3 = 5 (benar) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<\/span><span style=\"background-color: transparent;\">q = 2 \u2013 3 = 5 (salah)<\/span><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400; color: #000000; line-height: 1em;\">Karena <strong>p bernilai benar<\/strong> dan <strong>q bernilai salah<\/strong>, maka pernyataan <strong>p -&gt; q bernilai salah<\/strong>.<\/span><\/p>\n<p><span style=\"color: #000080;\"><strong><span style=\"background-color: transparent; line-height: 1em;\">3. Biimplikasi (\u2194)<\/span><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">Biimplikasi adalah kata penghubung pada pernyataan majemuk yang menggunakan kata <strong>j<\/strong><\/span><strong>ika \u2026 dan hanya jika &#8230;<\/strong><span style=\"font-weight: 400;\"> Jika p dan q dua buah pernyataan, maka p<\/span><strong><span style=\"background-color: transparent;\">\u2194<\/span><\/strong><span style=\"font-weight: 400;\">q. Jika kedua pernyataan tersebut mempunyai nilai kebenaran yang sama maka pernyataan tersebut bernilai benar, sebaliknya p<strong><span style=\"background-color: transparent;\">\u2194<\/span><\/strong><\/span><span style=\"font-weight: 400;\">q &nbsp;jika salah satu bernilai salah atau salah satu bernilai benar,<\/span><span style=\"background-color: transparent;\"> <\/span><span style=\"font-weight: 400;\">maka nilai pernyataan akan bernilai salah.<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\">&nbsp;<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000; line-height: 1em;\"><strong>Contoh :<\/strong><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">Tentukan nilai kebenaran dari <\/span><span style=\"font-weight: 400;\">10 + 5 = 15&nbsp; jika dan hanya jika 15 bukan bilangan prima<\/span><span style=\"font-weight: 400;\"> adalah .\u2026<\/span><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000;\"><strong>Jawab :<\/strong><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">p = 10 + 5 = 15 (Bernilai benar) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<\/span><span style=\"background-color: transparent;\">q = 15 bukan bilangan prima (Bernilai benar)<\/span><\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400; color: #000000; line-height: 1em;\">Karena <strong>p bernilai benar<\/strong> <span style=\"text-decoration: underline; line-height: 1em;\"><\/span>dan <strong>q bernilai <span style=\"line-height: 1em;\">benar<\/span><\/strong>, maka pernyataan majemuk tersebut bernilai <strong>benar<\/strong>.<\/span><\/p>\n<p><span type=\"_moz\"><span style=\"font-weight: 400; line-height: 1em;\">Demikianlah pembahasan mengenai<\/span><span style=\"font-weight: 400; line-height: 1em;\"> macam-macam kalimat yang digunakan dalam penalaran logika<\/span><span style=\"font-weight: 400;\">. Semoga bermanfaat untukmu ya! Masih mau belajar lagi? <em>Yuk<\/em>, gabung di <a href=\"https:\/\/ruangguru.com\/belajar?utm_medium=referral&amp;utm_source=blog&amp;utm_campaign=3-kata-penghubung-pada-logika-matematika\" target=\"_blank\" rel=\"noopener\"><strong>ruangbelajar<\/strong><\/a>! Di sana kamu bisa belajar dengan video animasi yang keren dan soal-soal latihan.<\/span><\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/link.ruangguru.com\/blPk\/eaff0eb9\" target=\"_blank\" style=\"text-align: center;\" class=\"rg-cta\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/cta\/1f6a4f8b-0326-42d1-bc9c-111ebb100e56.jpeg\" width=\"650\" height=\"228\" alt=\"ruangbelajar\" \/><\/a><\/p>\n<p><strong>Sumber Referensi&nbsp;<\/strong><\/p>\n<p>Sharma S. N, Widiastuti N, Himawan C, dkk (2017) Jelajah Matematika SMA Kelas XI Program Wajib. Jakarta:Yudisthira<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><em>Artikel diperbahui 21 Januari 2021<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hai! Sebelumnya, kita sudah membahas mengenai ingkaran dan konjungsi yang merupakan kata penghubung dalam kalimat majemuk pada logika matematika SMA. Apa kamu sudah menyimak materi tersebut? Nah, ternyata masih ada 3 jenis kata penghubung lainnya, lho. Apa sajakah itu? Keep scrolling! &nbsp;<\/p>\n","protected":false},"author":82,"featured_media":7279,"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":["1701669864:1"]},"categories":[467,475],"tags":[31,10,133,37],"class_list":["post-7279","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":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>3 Kata Penghubung pada Logika Matematika | 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\/wajib-tahu-3-kata-penghubung-pada-logika-matematika-sma\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"3 Kata Penghubung pada Logika Matematika | Matematika Kelas 11 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"Hai! Sebelumnya, kita sudah membahas mengenai ingkaran dan konjungsi yang merupakan kata penghubung dalam kalimat majemuk pada logika matematika SMA. Apa kamu sudah menyimak materi tersebut? Nah, ternyata masih ada 3 jenis kata penghubung lainnya, lho. Apa sajakah itu? 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Sebelumnya, kita sudah membahas mengenai ingkaran dan konjungsi yang merupakan kata penghubung dalam kalimat majemuk pada logika matematika SMA. Apa kamu sudah menyimak materi tersebut? Nah, ternyata masih ada 3 jenis kata penghubung lainnya, lho. Apa sajakah itu? 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