Bank Soal Matematika SMA Relasi

Soal

Pilgan

Diketahui P={2,3,5} dan Q={2,4,6,8,9,10}P=\left\{2,3,5\right\}\ \text{dan}\ Q=\left\{2,4,6,8,9,10\right\} dimana relasi antara P dan Q adalah habis membagi. Maka relasi inversnya adalah ....

A

R1={(2,2),(2,4),(2,6),(2,8),(2,10),(3,6),(3,9),(5,10)}R^{-1}=\left\{\left(2,2\right),\left(2,4\right),\left(2,6\right),\left(2,8\right),\left(2,10\right),\left(3,6\right),\left(3,9\right),\left(5,10\right)\right\}

B

R1={(2,4),(2,6),(2,8),(2,10),(3,6),(3,9),(5,10)}R^{-1}=\left\{\left(2,4\right),\left(2,6\right),\left(2,8\right),\left(2,10\right),\left(3,6\right),\left(3,9\right),\left(5,10\right)\right\}

C

R1={(2,2),(4,2),(6,2),(8,2),(10,2),(6,3),(9,3),(10,5)}R^{-1}=\left\{\left(2,2\right),\left(4,2\right),\left(6,2\right),\left(8,2\right),\left(10,2\right),\left(6,3\right),\left(9,3\right),\left(10,5\right)\right\}

D

R1={(2,2),(4,2),(6,2),(8,2),(10,2),(9,3),(10,5)}R^{-1}=\left\{\left(2,2\right),\left(4,2\right),\left(6,2\right),\left(8,2\right),\left(10,2\right),\left(9,3\right),\left(10,5\right)\right\}

E

R1={(4,2),(6,2),(8,2),(10,2),(6,3),(9,3),(10,5)}R^{-1}=\left\{\left(4,2\right),\left(6,2\right),\left(8,2\right),\left(10,2\right),\left(6,3\right),\left(9,3\right),\left(10,5\right)\right\}

Pembahasan:

Relasi P dan Q adalah habis membagi, maka R={(2,2),(2,4),(2,6),(2,8),(2,10),(3,6),(3,9),(5,10)}R=\left\{\left(2,2\right),\left(2,4\right),\left(2,6\right),\left(2,8\right),\left(2,10\right),\left(3,6\right),\left(3,9\right),\left(5,10\right)\right\}

Relasi inverse adalah kebalikan relasi yang merupakan kebalikan dari R.

Jadi, relasi inversenya adalah R1={(2,2),(4,2),(6,2),(8,2),(10,2),(6,3),(9,3),(10,5)}R^{-1}=\left\{\left(2,2\right),\left(4,2\right),\left(6,2\right),\left(8,2\right),\left(10,2\right),\left(6,3\right),\left(9,3\right),\left(10,5\right)\right\}

Video
16 Maret 2020
Sudut | Matematika | Kelas IV
Rangkuman
08 April 2020
Bab 5 | Bangun Datar | Matematika | Kelas 4

Siswa

Ingin latihan soal, nonton, atau unduh materi belajar lebih banyak?

Buat Akun Gratis

Guru

Ingin akses bank soal, nonton, atau unduh materi belajar lebih banyak?

Buat Akun Gratis

Soal Populer Hari Ini

Cek Contoh Kuis Online

Kejar Kuis

Cek Contoh Bank Soal

Kejar Soal