4. Tentukan semua himpunan bagian dari K ={p, q, r, s, t}yang memiliki
a. Dua anggota
b. Tiga anggota
c. Empat anggota
Penyelesaian :
Baca Juga: Kunci Jawaban PKN Kelas 9 SMP Halaman 120 Uji Kompetensi 4 Keberagaman Masyarakat Indonesia
a) Dua anggota: {p, q}, {p, r}, {p, s}, {p, t}, {q, r}, {q, s}, {q, t}, {r, s}, {r, t}, {s, t}.
b) Tiga anggota: {p, q, r}, {p, q, s}, {p, q, t}, {p, r, s}, {p, r, t}, {p, s, t}, {q, r, s}, {q, r, t}, {r, s, t}.
c) Empat anggota: {p, q, r, s}, {p, q, r, t}, {p, q, s, t}, {p, r, s, t}, {q, r, s, t}.
5. Tentukan semua himpunan bagian dari Y ={bilangan prima lebih dari 6 dan kurang dari 25 } yang memiliki
a. Dua anggota
b. Tiga anggota
c. Empat anggota
Pemyelesaian : Y = {7, 11, 13, 17, 19, 23}
a) Dua anggota : {7, 11}, {7,13}, {7,17}, {7, 19}, {7,23}, {11,13}, {11, 17}, {11, 19}, {11, 23}, {13, 17}, {13, 19}, {13, 23}, {17, 19}, {17, 23}, {19, 23}
b) Tiga anggota : {7, 11, 13}, {7, 11, 17}, {7, 11, 19}, {7, 11, 23}, {7, 13, 17}, {7,13, 19}, {7, 13, 23}, {7, 17, 19}, {7, 17, 23}, {7, 19, 23}, {11, 13, 17}, {11, 13, 19}, {11, 13, 23}, {11, 17, 19,}, {11, 17, 23}, {11, 19, 23}, {13, 17, 19}, {13, 17, 23}, {13, 19, 23}, {17, 19, 23}
c) Empat anggota : {7, 11, 13, 17}, {7, 11, 13, 19,}, {7, 11, 13, 23}, {7, 11, 17, 19}, {7, 11, 17, 23}, {7, 11, 19, 23}, {7, 17, 19, 23}, {7, 13, 17, 19}, {7, 13, 17, 23}, {7, 17, 19, 23}, {11, 13, 17, 19}, {11, 13, 17, 23}, {11, 13, 19, 23}, {11, 17, 19, 23}, {13, 17, 19, 23}
Itulah pembahasan materi Matematika kelas 7 halaman 144 Himpunan Ayo Kita berlatih 2.5.