Consider the following two binary relations on the set A={a,b,c}:R1={(c,a),(b,b),(a,c),(c,c),(b,c),(a,a)} and R2={(a,b),(b,a),(c,c),(c,a),(a,a),(b,b),(a,c)}Then

Consider the following two binary relations on the set A={a,b,c}:

R1={(c,a),(b,b),(a,c),(c,c),(b,c),(a,a)} and R2={(a,b),(b,a),(c,c),(c,a),(a,a),(b,b),(a,c)}Then

  1. A

     R1 is not symmetric but it is transitive

  2. B

    both R1 and R2 are transitive

  3. C

    R2 is symmetric but it is not transitive

  4. D

     both R1 and R2 are not symmetric 

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    Solution:

     R2 is symmetric but R2 is not transitive as (c,a),(a,b)R2 but (c,b)R2

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