Repeat Exercise 1 with reflexive replaced by (i) Symmetric (ii) Antisymmetric (iii) Transitive Exercise 1 Let A be a set and I an index set where, for each i I, Ri is a relation on A Prove or disprove each of the following (a) is reflexive on A if and only if each Ri is reflexive on A (b) is reflexive on A if and only if each Ri is reflexive on A UR,

Question: Repeat Exercise 1 with reflexive replaced by (i) Symmetric; (ii) Antisymmetric; (iii) Transitive. Exercise 1 Let A be a set and I an index set

Repeat Exercise 1 with "reflexive" replaced by
(i) Symmetric;
(ii) Antisymmetric;
(iii) Transitive.
Exercise 1
Let A be a set and I an index set where, for each i ˆˆ I, Ri is a relation on A. Prove or disprove each of the following.
(a)

is reflexive on A if and only if each Ri is reflexive on A.
(b)

is reflexive on A if and only if each Ri is reflexive on A.

UR,

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