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Consider the relation R = (a,b),(a,c),(c,c),(b,b),(c,b),(b,c) on the set A = a,b. Is R reflexive? Symmetric? Transitive? and why or why not.

  • math - ,

    First off, you'd better have A={a,b,c} or the relation R is not over set A.

    reflexive: (a,a)? No
    Symmetric: (a,b) and (b,a)? No
    Transitive: Yes, since
    (a,b),(b,c) and (a,c)
    (a,c),(c,b) and (a,b)
    (b,c),(c,b) and (b,b)
    (c,b),(b,c) and (c,c)

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