For each of the following relations defined on the set f1; 2; 3; 4; 5g, determine

Chapter 14, Problem 14.3

(choose chapter or problem)

For each of the following relations defined on the set f1; 2; 3; 4; 5g, determine whether the relation is reflexive, irreflexive, symmetric, antisymmetric, and/or transitive. a. R D f.1; 1/; .2; 2/; .3; 3/; .4; 4/; .5; 5/g. b. R D f.1; 2/; .2; 3/; .3; 4/; .4; 5/g. c. R D f.1; 1/; .1; 2/; .1; 3/; .1; 4/; .1; 5/g. d. R D f.1; 1/; .1; 2/; .2; 1/; .3; 4/; .4; 3/g. e. R D f1; 2; 3; 4; 5g f1; 2; 3; 4; 5g.

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