why type of a relation is {(2,2),(3,3),(2,3),(3,2),(3,1),(2,1) on the set A = {1,2,3}
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Because the definition says that a relationship is a set of ordered pairs.
If A and B are any two sets, R is a relationship of A in B itself and only if R is a subset of A x B.
If R ⊂ A x A it is said that R is a relation of A in A or simply a relation in A.
0 and A x B are ratios of A to B, since 0 ⊂ A x B and A x B ⊂ A x B.
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