Problem

Order RelationsIf C is a relation on a set A, define a new relation D on A by letting (b,...

Order Relations

If C is a relation on a set A, define a new relation D on A by letting (b, a) D if (a, b) C.

(a) Show that C is symmetric if and only if C = D.
(b) Show that if C is an order relation, D is also an order relation.
(c) Prove the converse of the theorem in Exercise 13.

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Solutions For Problems in Chapter 1.3

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