1. Diketahui:

P = {0, 1, 2, 3, 5, 6, 8}

Q = {0, 1, 2, 4, 5, 6, 7, 9}

R = { 0, 1, 2, 3, 4, 5, 6, 7}

Tentukan:

a. P∩(Q∩R) = {0,1,2,5,6}

b. P⋃(Q∩R) = {0,1,2,3,4,5,6,7,8}

c. P∩(Q⋃R) =

{0,1,2,3,5,6}

Pembahasan :

Tanda A∩B berarti "irisan" adalah "yang ada di A dan B".

A∪B berarti "Gabungan" adalah "di A digabung B".

misal A={0,1,2,5}

B = {2,5,6,7}

A∩B = {2,5 }

A∪B = {0,1,2,5,6,7}

Diketahui:

P = {0, 1, 2, 3, 5, 6, 8}

Q = {0, 1, 2, 4, 5, 6, 7, 9}

R = { 0, 1, 2, 3, 4, 5, 6, 7}

Ditanya:

Tentukan:

a. P∩(Q∩R)

b. P⋃(Q∩R)

c. P∩(Q⋃R)

Dijawab:

Q = {0, 1, 2, 4, 5, 6, 7, 9}

R = { 0, 1, 2, 3, 4, 5, 6, 7}

(Q∩R) = {0,1,2,4,5,6,7}

P = {0, 1, 2, 3, 5, 6, 8}

P∩(Q∩R) = {0,1,2,5,6}

(Q∩R) = {0,1,2,4,5,6,7}

P = {0, 1, 2, 3, 5, 6, 8}

P⋃(Q∩R) = {0,1,2,3,4,5,6,7,8}

Q = {0, 1, 2, 4, 5, 6, 7, 9}

R = { 0, 1, 2, 3, 4, 5, 6, 7}

(Q⋃R) = {0,1,2,3,4,5,6,7,9}

P = {0, 1, 2, 3, 5, 6, 8}

P∩(Q⋃R) = {0,1,2,3,5,6}

Jadi

P∩(Q∩R) = {0,1,2,5,6}

P⋃(Q∩R) = {0,1,2,3,4,5,6,7,8}

P∩(Q⋃R) = {0,1,2,3,5,6}

Pelajari lebih lanjut:

1. Materi tentang Selisih Himpunan: yomemimo.com/tugas/30776835
2. Materi tentang Relasi Himpunan: yomemimo.com/tugas/9494195

Detail Jawaban:

Mapel : Matematika

Kelas : 7

Materi : Himpunan

Kode Soal : 2

Kode Kategori :7.2.6