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Give an example of a relation. Which isSymmetric but neither reflexive nor transitive. |
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Answer» (1, 1) ∉ R, hence not reflexive (1, 2) ∈ R ⇒ (2, 1) ∈ R, also (2, 1) ∈ R ⇒ (1,2) ∈ R . (a, b) ∈ R = 9 (b, a) ∈ R, hence symmetric (1,2) ∈ R (2, 1) ∈ R but (1, 1) ∈ R hence not transitive. |
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