{"id":281882,"date":"2020-04-23T15:06:10","date_gmt":"2020-04-23T08:06:10","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=281882"},"modified":"2022-03-01T18:05:49","modified_gmt":"2022-03-01T11:05:49","slug":"diagram-venn-matematika-kelas-7","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/diagram-venn-matematika-kelas-7\/","title":{"rendered":"Diagram Venn &#8211; Matematika Kelas 7"},"content":{"rendered":"<div id=\"attachment_281897\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img fetchpriority=\"high\" decoding=\"async\" aria-describedby=\"caption-attachment-281897\" class=\"wp-image-281897 size-full\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-7.png\" alt=\"Diagram Venn - Matematika Kelas 7\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-7.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-7-768x512.png 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-7-585x390.png?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-7-263x175.png?crop=1 263w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-7-300x200.png 300w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-281897\" class=\"wp-caption-text\">Foto: freepik.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Hai Quipperian, bagaimana kabarnya? Semoga selalu sehat dan tetap semangat belajar, ya. Agar belajarmu tambah semangat, yuk baca cerita berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suatu hari, Renald diberi tugas untuk mendata mata pelajaran apa saja sudah dikuasai 100 orang siswa kelas 7 yang akan melaksanakan ujian akhir semester.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Mata pelajaran yang menjadi topik survei Renald adalah IPA dan IPS. Dari hasil survei yang ia lakukan, diperoleh 10 siswa belum menguasai kedua mata pelajaran tersebut, 60 siswa menguasai IPA, 55 siswa menguasai IPS, dan 25 siswa menguasai keduanya.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Setelah dia hitung ulang, keseluruhan siswanya menjadi 150 siswa, padahal <\/span><i><span style=\"font-weight: 400;\">kan<\/span><\/i><span style=\"font-weight: 400;\"> yang disurvei hanya 100 siswa. Kira-kira, apa yang salah dari survei yang dilakukan Renald? Bisakah kamu membantunya?\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Untuk membantu Renald, kamu harus belajar tentang diagram Venn. Apa itu diagram Venn? <\/span><i><span style=\"font-weight: 400;\">Check this out<\/span><\/i><span style=\"font-weight: 400;\">!<\/span><\/p>\n<h2><b>Pengertian Diagram Venn<\/b><\/h2>\n<div id=\"attachment_281903\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img decoding=\"async\" aria-describedby=\"caption-attachment-281903\" class=\"wp-image-281903 size-full\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-1.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-1.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-1-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-1-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-281903\" class=\"wp-caption-text\">Foto: unsplash.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Diagram Venn adalah diagram yang menampilkan korelasi atau hubungan antarhimpunan yang berkesuaian dalam suatu kelompok. Diagram ini dicetuskan oleh ilmuwan asal Inggris John Venn. Keuntungan yang diperoleh dengan adanya diagram Venn ini adalah hubungan antarhimpunan lebih mudah dipahami.\u00a0<\/span><\/p>\n<h2><b>Aturan Penggambaran Diagram Venn<\/b><\/h2>\n<div id=\"attachment_281902\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img decoding=\"async\" aria-describedby=\"caption-attachment-281902\" class=\"wp-image-281902 size-full\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-2.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-2.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-2-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-2-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-281902\" class=\"wp-caption-text\">Foto: pixabay.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Untuk membuat diagram Venn, ada beberapa hal yang perlu diperhatikan, yaitu sebagai berikut.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Himpunan semesta (S) dinyatakan dalam bentuk persegi panjang. Himpunan semesta adalah semua anggota himpunan yang di dalamnya memuat himpunan yang sedang menjadi fokus pembahasan.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Himpunan lain yang menjadi fokus pembahasan dinyatakan dalam bentuk lingkaran atau kurva tertutup.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Anggota setiap himpunan dinyatakan dalam bentuk titik atau noktah.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Jika anggota himpunannya tak terhingga, masing-masing anggota tidak perlu dinyatakan sebagai titik.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">Untuk lebih jelasnya tentang\u00a0 bentuk diagram Venn, perhatikan contoh berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">S = {a, b, c, d, e}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {b, d, e}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Diagram Venn yang sesuai dengan himpunan tersebut adalah sebagai berikut.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281893\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-a.png\" alt=\"\" width=\"326\" height=\"242\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-a.png 326w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-a-300x223.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-a-80x60.png 80w\" sizes=\"(max-width: 326px) 100vw, 326px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Pada contoh diagram Venn di atas, kamu akan mengenal istilah himpunan bagian, yaitu himpunan A merupakan himpunan bagian dari himpunan semesta. Secara matematis disimbolkan sebagai A <\/span><span style=\"font-weight: 400;\">\u2282<\/span><span style=\"font-weight: 400;\"> S. Selanjutnya, kamu akan dikenalkan lebih lanjut tentang himpunan bagian dan bukan himpunan bagian.<\/span><\/p>\n<h2><b>Himpunan Bagian<\/b><\/h2>\n<div id=\"attachment_281901\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-281901\" class=\"wp-image-281901 size-full\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-3.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-3.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-3-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-3-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-281901\" class=\"wp-caption-text\">Foto: pixabay.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Himpunan bagian biasa disimbolkan sebagai <\/span><span style=\"font-weight: 400;\">\u2282<\/span><span style=\"font-weight: 400;\">. Jika A merupakan himpunan bagian dari himpunan B (A <\/span><span style=\"font-weight: 400;\">\u2282<\/span><span style=\"font-weight: 400;\"> B), maka seluruh anggota himpunan A termasuk anggota himpunan B. Contohnya adalah sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {1, 2, 3}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = {1, 2, 3, 4, 5}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jelas bahwa seluruh anggota himpunan A merupakan anggota himpunan B. Jika digambarkan dalam bentuk diagram Venn, menjadi seperti berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281892\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-b.png\" alt=\"\" width=\"314\" height=\"237\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-b.png 314w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-b-300x226.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-b-200x150.png 200w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-b-80x60.png 80w\" sizes=\"(max-width: 314px) 100vw, 314px\" \/><\/p>\n<h2><b>Bukan Himpunan Bagian<\/b><\/h2>\n<div id=\"attachment_281900\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-281900\" class=\"wp-image-281900 size-full\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-4.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-4.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-4-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-4-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-281900\" class=\"wp-caption-text\">Foto: pixabay.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Bukan himpunan bagian biasa disimbolkan dengan <\/span><span style=\"font-weight: 400;\">\u2284<\/span><span style=\"font-weight: 400;\">. Jika A bukan himpunan bagian dari himpunan B, maka ada anggota himpunan A yang tidak termasuk anggota himpunan B. Dalam hal ini, bisa jadi himpunan anggota himpunan A merupakan irisan dari himpunan B. Contohnya adalah sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {1, 4, 6}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = {1, 2, 3, 4, 5}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jika digambarkan dalam bentuk diagram Venn, menjadi seperti berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281891\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-c.png\" alt=\"\" width=\"309\" height=\"236\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-c.png 309w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-c-300x229.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-c-80x60.png 80w\" sizes=\"(max-width: 309px) 100vw, 309px\" \/><\/p>\n<h2><b>Irisan<\/b><\/h2>\n<div id=\"attachment_281899\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-281899\" class=\"wp-image-281899 size-full\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-5.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-5.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-5-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-5-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-281899\" class=\"wp-caption-text\">Foto: pixabay.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Pada pembahasan sebelumnya, kamu sudah dikenalkan dengan istilah irisan. Irisan menyatakan suatu kesamaan yang biasa dilambangkan sebagai <\/span><span style=\"font-weight: 400;\">\u2229<\/span><span style=\"font-weight: 400;\">. Contohnya sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {1, 4, 6, 7, 8}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = {1, 2, 3, 4, 5}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Semua anggota himpunan A yang sama dengan anggota himpunan B disebut sebagai A irisan B (A <\/span><span style=\"font-weight: 400;\">\u2229<\/span><span style=\"font-weight: 400;\"> B). Dengan demikian berlaku A <\/span><span style=\"font-weight: 400;\">\u2229<\/span><span style=\"font-weight: 400;\"> B = {1, 4}. Jika digambarkan dalam bentuk diagram Venn akan menjadi seperti berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281890\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-d.png\" alt=\"\" width=\"319\" height=\"240\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-d.png 319w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-d-300x226.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-d-200x150.png 200w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-d-80x60.png 80w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Prinsip irisan inilah yang nantinya bisa kamu gunakan untuk membantu Renald. Selanjutnya, kamu akan belajar tentang jenis-jenis himpunan.<\/span><\/p>\n<h2><b>Jenis-Jenis Himpunan<\/b><\/h2>\n<div id=\"attachment_281898\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-281898\" class=\"wp-image-281898 size-full\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-6.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-6.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-6-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-6-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-281898\" class=\"wp-caption-text\">Foto: pixabay.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Adapun jenis-jenis himpunan adalah sebagai berikut.<\/span><\/p>\n<h3><b>1. Himpunan Bagian<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Himpunan bagian sudah kamu pelajari di bagian sebelumnya, yaitu setiap anggota himpunan A termasuk dalam himpunan B. Pada himpunan bagian berlaku A <\/span><span style=\"font-weight: 400;\">\u2229<\/span><span style=\"font-weight: 400;\"> B = B. Contohnya sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {1, 2, 3}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = {1, 2, 3, 4, 5}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jelas bahwa seluruh anggota himpunan A merupakan anggota himpunan B. Jika digambarkan dalam bentuk diagram Venn, menjadi seperti berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281889\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-e.png\" alt=\"\" width=\"309\" height=\"236\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-e.png 309w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-e-300x229.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-e-80x60.png 80w\" sizes=\"(max-width: 309px) 100vw, 309px\" \/><\/p>\n<h3><b>2. Himpunan Sama<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Himpunan sama berlaku jika seluruh anggota himpunan A sama dengan anggota himpunan B. Contohnya seperti berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {a, b, c}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = {a, b, c}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Adapun diagram Vennya adalah sebagai berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281888\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-f.png\" alt=\"\" width=\"311\" height=\"235\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-f.png 311w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-f-300x227.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-f-200x150.png 200w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-f-80x60.png 80w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><\/p>\n<h3><b>3. Himpunan Saling Lepas<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Himpunan saling lepas terjadi jika seluruh anggota himpunan A tidak ada yang sama dengan anggota himpunan B. Pada himpunan jenis ini, irisannya adalah himpunan kosong atau A <\/span><span style=\"font-weight: 400;\">\u2229<\/span><span style=\"font-weight: 400;\"> B = {<\/span><span style=\"font-weight: 400;\">\u2205<\/span><span style=\"font-weight: 400;\">}. Simak contoh berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {6, 7, 9, 10}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = { F, G, H, I}<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Adapun bentuk diagram Vennya adalah sebagai berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281887\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-g.png\" alt=\"\" width=\"312\" height=\"235\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-g.png 312w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-g-300x226.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-g-200x150.png 200w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-g-80x60.png 80w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><\/p>\n<h3><b>4. Himpunan Tidak Saling Lepas<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Himpunan tidak saling lepas berbeda dengan himpunan bagian. Jika pada himpunan bagian seluruh anggota himpunan A merupakan himpunan B, maka pada himpunan tidak saling lepas adalah sebagian anggota himpunan A adalah anggota himpunan B.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Pada himpunan tidak saling lepas, terdapat irisan antara himpunan A dan himpunan B. Untuk gambarnya bisa Quipperian lihat di pembahasan bagian irisan.<\/span><\/p>\n<h2><b>Contoh Soal<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Setelah belajar tentang diagram Venn di atas, harusnya kamu bisa <\/span><i><span style=\"font-weight: 400;\">dong<\/span><\/i><span style=\"font-weight: 400;\"> bantu Renald? Yuk, kita bantu Renald.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Banyaknya siswa yang disurvei Renald adalah 100. Dari hasil survei yang ia lakukan, diperoleh 10 siswa belum menguasai kedua mata pelajaran tersebut, 60 siswa menguasai IPA, 55 siswa menguasai IPS, dan 25 siswa menguasai keduanya. Setelah dia hitung ulang, keseluruhan siswanya menjadi 150 siswa, bukan 100.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Untuk memecahkan permasalahan tersebut, kamu tentukan dahulu himpunan yang ada pada soal.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">IPA = 60 siswa<\/span><\/p>\n<p><span style=\"font-weight: 400;\">IPS = 55<\/span><\/p>\n<p><span style=\"font-weight: 400;\">IPA dan IPS = 25<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tidak IPA dan IPS = 10<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jika dinyatakan dalam bentuk diagram Venn siswa yang menguasai IPA dan IPS diletakkan di bagian irisan, sedangkan siswa yang tidak menguasai keduanya diletakkan di luar lingkaran.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Perhatikan diagram Venn berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281886\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-h.png\" alt=\"\" width=\"313\" height=\"242\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-h.png 313w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-h-300x232.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Kamu harus paham bahwa sebanyak 25 siswa yang menguasai\u00a0 IPA dan IPS, termasuk ke dalam 60 siswa yang menguasai IPA dan 55 siswa yang menguasai IPS. Artinya, kamu harus mencari banyaknya siswa yang menguasai IPA dan IPS saja. Dengan demikian, diperoleh:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281885\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-i.png\" alt=\"\" width=\"308\" height=\"236\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-i.png 308w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-i-300x230.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-i-80x60.png 80w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Setelah dikurangkan menjadi seperti berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-281884\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-j.png\" alt=\"\" width=\"311\" height=\"240\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-j.png 311w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/04\/Diagram-Venn-Matematika-Kelas-7-j-300x232.png 300w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Dari diagram Venn di atas, jumlah siswanya adalah 35 + 25 + 30 + 10 = 100 (benar).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nah, sudah tahu kan di mana letak kesalahan Renald?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Itulah pembahasan Quipper Blog kali ini tentang diagram Venn. Semoga bermanfaat bagi kamu semua, ya. Jangan lupa untuk berlangganan <\/span><a href=\"https:\/\/subscribe.quipper.com\/signup\/id\"><b>Quipper Video<\/b><\/a><span style=\"font-weight: 400;\"> karena di dalamnya menyediakan fitur-fitur menarik yang bisa memudahkan Quipperian saat belajar. Bersama Quipper, belajar jadi lebih mudah dan menyenangkan. Salam Quipper!<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><b>Penulis: Eka Viandari<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hai Quipperian, bagaimana kabarnya? Semoga selalu sehat dan tetap semangat belajar, ya. Agar belajarmu tambah semangat, yuk baca cerita berikut. Suatu hari, Renald diberi&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":281897,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384888,679384865],"tags":[],"ppma_author":[679386827],"class_list":["post-281882","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Diagram Venn - Matematika Kelas 7 - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Diagram Venn adalah diagram yang menampilkan korelasi atau hubungan antarhimpunan yang berkesuaian dalam suatu kelompok. 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