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If A = {1, 2, 3} and B = {4, 5}, then {<1, 4>, <2, 5>, <3, 5>}, for example, is a binary relation from A to B.
However, {<1, 1>, <1, 4>, <3, 5>} is not a binary relation from A to B because 1 is not in B.

I don't understand why the first part is true. Why are <1,5> <2,4> and <3,4> not included in the relation?

I DO understand the second part. Since a binary relation from a set A to a set B is a set of ordered pairs where a is an element of A and b is an element of B.

Anyone have any insite?

2006-08-28 09:19:59 · 6 answers · asked by ifoam 3 in Education & Reference Homework Help

6 answers

It is not necessary that all ordered pairs be included in a binary relation.

{<1,4>} is a simple binary relation between the two sets. There are several of them. If you were to list a complete binary relation, then you would have to include all ordered pairs.

2006-08-28 09:27:32 · answer #1 · answered by Dawgface420 5 · 0 0

You don’t have a logic problem. Words make you confuse! In the first part :
Is the given relation the exact relation between set A and set B?
you can define many other relations between given sets and they may include supposed pairs.

2006-08-28 16:31:01 · answer #2 · answered by masood m 1 · 0 0

He who asks Yahoo has forsaken The Lord. Say a prayer and thou shalt recieve Our Father's knowledge!

2006-08-28 16:22:13 · answer #3 · answered by Anonymous · 1 0

You can use math to solve your problem, like all prime numbers, they go on to infinity, but no one can prove it, but relationships, some do, some do not. I have played the dozen, Your mama to fat, your mamma o ugly

2006-08-28 16:33:50 · answer #4 · answered by Scott B 4 · 0 0

<1,5>, <2,4>, etc. are also included in the relation, but they didn't list them all in the first part.

Also, insight is misspelled.

2006-08-28 16:22:53 · answer #5 · answered by Anonymous · 1 0

i have no clue i dont know anything about binary go ask my super smart cousin

2006-08-28 16:21:36 · answer #6 · answered by kizsescoco13 2 · 0 1

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