Each of the following open senteces defines a relation R in the natural number N. State whether each relation is symmetric. or not. c. "x+y=10"

Pertanyaan

Each of the following open senteces defines a relation $R$ in the natural number $N$ . State whether each relation is symmetric. or not.

c. " $x+y=10$ "

I. Kumaralalita

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

relasi tersebut adalah relasi simetris karena untuk setiap anggota relasi left parenthesis a comma space b right parenthesis element of R

selalu ada anggota relasi left parenthesis b comma space a right parenthesis element of R

Pembahasan

Relasi disebut relasi simetris jika untuk setiap left parenthesis a comma space b right parenthesis element of R maka berlaku left parenthesis b comma space a right parenthesis element of R .

Diberikan kalimat terbuka " x plus y equals 10 " yang mendefinisikan relasi dalam bilangan asli . Apabila dinyatakan dalam himpunan pasangan terurut maka

Dengan demikian, relasi tersebut adalah relasi simetris karena untuk setiap anggota relasi left parenthesis a comma space b right parenthesis element of R selalu ada anggota relasi left parenthesis b comma space a right parenthesis element of R .

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