Diketahui himpunan-himpunan berikut: A={x∣x faktor dari 30},B={x∣x≤12, x ∈ bilangan cacah genap},C={x∣x<15, x ∈ bilangan prima}. Dari himpunan di atas, tentukan himpunan berikut dengan mendaftar anggotanya! (A∪B)−C

Pertanyaan

Diketahui himpunan-himpunan berikut:

A equals open curly brackets x vertical line x space faktor space dari space 30 close curly brackets comma B equals open curly brackets x vertical line x less or equal than 12 comma space x space element of space bilangan space cacah space genap close curly brackets comma C equals open curly brackets x vertical line x less than 15 comma space x space element of space bilangan space prima close curly brackets.

Dari himpunan di atas, tentukan himpunan berikut dengan mendaftar anggotanya!

open parentheses A union B close parentheses minus C

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

hasil dari open parentheses A union B close parentheses minus C adalah open curly brackets 1 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 comma space 15 comma space 30 close curly brackets.

Pembahasan

Pertama-tama, nyatakan himpunan A. space B. space C dengan mendaftar anggota-anggotanya sebagai berikut.

A equals open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets B equals open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets C equals open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets

Lalu selesaikan open parentheses A union B close parentheses minus C sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses A union B close parentheses minus C end cell equals cell open parentheses open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 6 comma space 10 comma space 15 comma space 30 close curly brackets union open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 close curly brackets close parentheses minus open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets end cell row blank equals cell open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 8 comma space 10 comma space 12 comma space 15 comma space 30 close curly brackets minus open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 comma space 13 close curly brackets end cell row blank equals cell open curly brackets 1 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 comma space 15 comma space 30 close curly brackets end cell end table

Dengan demikian, hasil dari open parentheses A union B close parentheses minus C adalah open curly brackets 1 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 comma space 15 comma space 30 close curly brackets.

27

0.0 (0 rating)

Pertanyaan serupa

Diketahui dua buah himpunan AB​==​{x∣−5<x≤4,x∈bilangan bulat}{−3,−1,0,1,2,3,…,8}​ Maka A−B adalah ...

64

5.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia