Sir,
 
Can every ordered pair be a relation?

Asked by Rajeev | 29th Apr, 2015, 05:16: PM

Expert Answer:

Every space set space of space ordered space pair space can space be space straight a space relation. For space Example colon straight A equals open curly brackets 1 comma 2 comma 3 close curly brackets straight A cross times straight A equals open curly brackets left parenthesis 1 comma 1 right parenthesis comma left parenthesis 1 comma 2 right parenthesis comma space left parenthesis 1 comma 3 right parenthesis comma left parenthesis 2 comma 1 right parenthesis comma left parenthesis 2 comma 2 right parenthesis comma left parenthesis 2 comma 3 right parenthesis comma left parenthesis 3 comma 1 right parenthesis comma left parenthesis 3 comma 2 right parenthesis comma left parenthesis 3 comma 3 right parenthesis close curly brackets From space this space set space of space ordered space pair comma space if space we space choose space to space take space open curly brackets left parenthesis 1 comma 1 right parenthesis close curly brackets space then space it space forms space straight a space relation. From space this space set space of space ordered space pair comma space if space we space choose space to space take space open curly brackets left parenthesis 1 comma 1 right parenthesis comma left parenthesis 1 comma 2 right parenthesis comma left parenthesis 1 comma 3 right parenthesis close curly brackets space then space it space forms space straight a space second space relation. From space this space set space of space ordered space pair comma space if space we space choose space to space take space open curly brackets left parenthesis 1 comma 1 right parenthesis comma left parenthesis 3 comma 1 right parenthesis comma left parenthesis 3 comma 2 right parenthesis comma left parenthesis 3 comma 3 right parenthesis close curly brackets space then space it space forms space straight a space third space relation.

Answered by Prasenjit Paul | 30th Apr, 2015, 10:25: AM