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Jika A={0,2,4,6,8,10,12} dan B={0,1, 2,3,4,5,6,7}, nyatakan relasi dari A ke B dengan hubungan "dua kali dari" dalam: Himpunan pasangan berurutan - Akreditasi.org

Jika A={0,2,4,6,8,10,12} dan B={0,1, 2,3,4,5,6,7}, nyatakan relasi dari A ke B dengan hubungan “dua kali dari” dalam: Himpunan pasangan berurutan

Akreditasi.org, Hai teman-teman, kali ini kita akan membahas contoh soal Himpunan Pasangan Berurutan. Berikut soal yang dimaksud ya teman-teman.

 

Soal:

Jika A={0,2,4,6,8,10,12} dan B={0,1, 2,3,4,5,6,7}, nyatakan relasi dari A ke B dengan hubungan “dua kali dari” dalam: Himpunan pasangan berurutan

 

Jawaban: 

{(0, 0), (2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6)} 

Himpunan A dan himpunan B dikatakan memiliki relasi jika ada anggota himpunan yang saling berpasangan. Suatu relasi juga dapat dinyatakan dengan menggunakan himpunan pasangan berurutan. Caranya dengan memasangkan himpunan A dengan himpunan B secara berurutan. 

 

Pembahasan: relasi dari A ke B dengan hubungan “dua kali dari” A={0,2,4,6,8,10,12} dan B={0,1, 2,3,4,5,6,7} 0 → 2×0 2 → 2×1 4 → 2×2 6 → 2×3 8 → 2×4 10 → 2×5 12 → 2×6 

Jadi, himpunan pasangan berurutan yang dimaksud adalah {(0, 0), (2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6)}. 

 

Itulah pembahasan soal tentang Himpunan. Semoga pembahasan ini bisa menambah pengetahuan teman-teman tentang materi ini. Jangan lupa terus belajar ya teman-teman, terima kasih.

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