Lks Diagram Venn 3q5d5r

LEMBAR KERJA SISWA 1.2 Mata Pelajaran : Matematika Kelas/Semester : VII/Satu Materi Pokok : Diagram Venn, Kardinalitas Himpuanan, dan Himpunan Bagian. Nama Anggota : 1. ………………. 4. ………………. 2. ………………. 5. ………………. 3. ………………. 6. ………………. 7. ………………. INFORMASI : Kardinalitas Himpunan adalah bilangan yang menyatakan banyaknya anggota dari suatu himpunan dan dinotasikan dengan n(A). Contoh : M = {1, 2, 3,4 ,5,6,7,8,9} Maka n(M) = 9 Misalnya P = {a, i, e, o, u} dan Q = {a, i}, R = {n, o, u}, maka : – Himpunan Q adalah himpunan bagian dari himpunan P, karena setiap anggota Q juga merupakan anggota Q, ditulis Q  P. – Tidak semua anggota R merupakan anggota P, yaitu n ditulis n P. Jadi, himpunan R bukan merupakan himpunan bagian dari himpunan P, ditulis R  P. Dari uraian-uraian di atas dapat disimpulkan bahwa: Untuk dua buah himpunan P dan Q maka : 1. Himpunan P merupakan himpunan bagian dari Q, ditulis P  Q, jika setiap anggota P merupakan anggota Q. 2. Himpunan P bukan merupakan himpunan bagian dari himpunan Q, ditulis P  Q, jika setiap anggota P bukan merupakan anggota Q. Himpunan A merupakan himpunan bagian (subset) dari himpunan B atau B superset dari A jika dan hanya jika setiap anggota himpunan A merupakan anggota himpunan B, dilambangkan dengan A  B atau B  A. Kegiatan 1.2 : 1 Diketahui anggota himpunan N = {-7, -6, -5, -4, -3, -2, -1}. Maka n(N) adalah? Jawab : ............................................................................................................................................... ...............................................................................................................................................

2 Perhatikan diagram Venn berikut ini! a. Berapa n(A), n(B) dan n(S) dari diagram Venn diatas? Jawab : ........................................................... ........................................................... ........................................................... ...........................................................

b. Himpunan mana yang memiliki kardinalitas himpunan lebih banyak dari himpunan lainnya? Mengapa? Jawab : .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... 3 Diketahui anggota himpunan A, B, C dan S adalah sebagai berikut ! S = {1,2,3,4,5,6,7,8,9} A = {1,2,3,4,5} B = {1,2,3} C = {6,7,8} a. Apakah himpunan A merupakan himpunan bagian dari himpunan S? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ b. Apakah himpunan B merupakan himpunan bagian dari himpunan S? Mengapa? Jawab :

......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ c. Apakah himpunan B merupakan himpunan bagian dari himpunan S? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ d. Apakah himpunan B merupakan himpunan bagian dari himpunan A? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ e. Apakah himpunan C merupakan himpunan bagian dari himpunan A? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ f. Apakah himpunan A merupakan himpunan bagian dari himpunan C? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ g. Apakah himpunan B merupakan himpunan bagian dari himpunan A? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ h. Apakah himpunan A merupakan himpunan bagian dari himpunan A? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................

........................................................................................................................................ i. Apakah himpunan B merupakan himpunan bagian dari himpunan B? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ j. Apa kesimpulan dari jawaban nomor h dan i? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ k. Diketahui himpunan A = { } dan himpunan B = {1,2,3,4} Apakah himpunan A termasuk himpunan bagian dari himpunan B? Mengapa? Jawab : ......................................................................................................................................... ......................................................................................................................................... ........................................................................................................................................ ........................................................................................................................................ ........................................................................................................................................ ........................................................................................................................................ ........................................................................................................................................