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Pertanyaan

Diberikan A = { 1 , 2 , 3 } dan B = { p , q } . Himpunan pasangan berurutan dari A × B adalah …

Diberikan  dan . Himpunan pasangan berurutan dari  adalah …

  1. begin mathsize 14px style open curly brackets left parenthesis p comma space 1 right parenthesis comma space left parenthesis q comma space 1 right parenthesis comma space left parenthesis p comma space 2 right parenthesis comma space left parenthesis 2 comma space q right parenthesis comma space left parenthesis p comma space 3 right parenthesis comma space left parenthesis q comma space 3 right parenthesis close curly brackets end style

  2. size 14px left curly bracket size 14px left parenthesis size 14px p size 14px comma size 14px space size 14px 1 size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px q size 14px comma size 14px space size 14px 1 size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px p size 14px comma size 14px space size 14px 2 size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px q size 14px comma size 14px space size 14px 2 size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px p size 14px comma size 14px space size 14px 3 size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px q size 14px comma size 14px space size 14px 3 size 14px right parenthesis size 14px right curly bracket

  3. begin mathsize 14px style open curly brackets left parenthesis 1 comma space p right parenthesis comma space left parenthesis 1 comma space q right parenthesis comma space left parenthesis p comma space 2 right parenthesis comma space left parenthesis q comma space 2 right parenthesis comma space left parenthesis 3 comma space p right parenthesis comma space left parenthesis 3 comma space q right parenthesis close curly brackets end style

  4. size 14px left curly bracket size 14px left parenthesis size 14px 1 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 1 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 2 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 2 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 3 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 3 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px right curly bracket

  5. size 14px left curly bracket size 14px left parenthesis size 14px 1 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 1 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 2 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 2 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px p size 14px comma size 14px space size 14px 3 size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px q size 14px comma size 14px space size 14px 3 size 14px right parenthesis size 14px right curly bracket

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Jawaban terverifikasi

Jawaban

jawabannya adalah D.

jawabannya adalah D.

Pembahasan

Dari soal, diberikan dan . Himpunan pasangan berurutan dari menghubungkan setiap anggota ke seluruh anggota dalam bentuk . Artinya, akan dipasangkan ke . Sehingga didapat . Begitu pula untuk dan . Sehingga, himpunanpasangan berurutan dari adalah . Jadi, jawabannya adalah D.

Dari soal, diberikan begin mathsize 14px style A equals open curly brackets 1 comma space 2 comma space 3 close curly brackets end style dan begin mathsize 14px style B equals open curly brackets p comma space q close curly brackets end style. Himpunan pasangan berurutan dari undefined menghubungkan setiap anggota begin mathsize 14px style a element of A end style ke seluruh anggota begin mathsize 14px style b element of B end style dalam bentuk begin mathsize 14px style left parenthesis a comma space b right parenthesis end style.

Artinya, begin mathsize 14px style 1 element of A end style akan dipasangkan ke begin mathsize 14px style p comma space q element of B end style. Sehingga didapat begin mathsize 14px style left parenthesis 1 comma space p right parenthesis comma space left parenthesis 1 comma space q right parenthesis end style. Begitu pula untuk begin mathsize 14px style 2 element of A end style dan begin mathsize 14px style 3 element of A end style.

Sehingga, himpunan pasangan berurutan dari undefined adalah size 14px A size 14px cross times size 14px B size 14px equals size 14px left curly bracket size 14px left parenthesis size 14px 1 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 1 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 2 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 2 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 3 size 14px comma size 14px space size 14px p size 14px right parenthesis size 14px comma size 14px space size 14px left parenthesis size 14px 3 size 14px comma size 14px space size 14px q size 14px right parenthesis size 14px right curly bracket.

Jadi, jawabannya adalah D.

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Diberikan C = { c ∣ − 1 < c < 3 , c ∈ R } , dan D = { d ∣ − 1 < d ≤ 3 , d ∈ R } . Jika Cartesian Product C × D digambarkan dalam diagram kartesius, maka gambar yang tepatadalah ....

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