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Let R = 1 ,   3 ,   4 ,   2 ,   2 ,   4 ,   2 ,   3 ,   ( 3 ,   1 ) be a relation on the set A = 1,   2 ,   3,   4 . The relation R is

Options

  1. AReflexive
  2. BTransitive
  3. CNot symmetric
  4. DA function

Correct answer

C. Not symmetric

Step-by-step solution

Clearly, ( 1 ,   1 ) ,   ( 2 ,   2 ) ,   ( 3 ,   3 ) ,   ( 4 ,   4 ) are not in R . So, it is not reflexive We observe that 2,3 ∈ R     but   3 ,   2   ∉ R ,   so it is not symmetric. Clearly, 1,3 ∈ R   and   3,1 ∈ R ,   but   1,1 ∉ R . So, it is not transitive. Since, 2,4   and   2,3 are in R . So, it is not a function.

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