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Suppose a Is the Set Composed of All

Question 67

Essay

Suppose A is the set composed of all ordered pairs of positive integers. Let R be the relation defined on A where (a, b) R(c, d) means that a+d=b+c .
(a) Prove that R is an equivalence relation.
(b) Find [(2,4)] .

Correct Answer:

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(a) Reflexive: a+b=b+a ;
Symmetric: if...

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