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Give an example of a relation which is t...

Give an example of a relation which is transitive but neither reflexive nor transitive.

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Give an example of a relation which is symmetric but neither reflexive nor transitive.

Give an example of a relation. Which is (i) Symmetric but neither reflexive nor transitive. (ii) Transitive but neither reflexive nor symmetric. (iii) Reflexive and symmetric but not transitive. (iv) Reflexive and transitive but not symmetric. (v) Symmetric and transitive but not reflexive.

Give an example of a relation which is symmetric only.

Give an example of a relation which is reflexive and transitive but not symmetric.

Give an example of a relation which is reflexive and symmetric but not transitive.

Give an example of a relation which is symmetric and transtric and transitive but not reflexive.

Let L be the set of all lines in a plane and R be the relation in L defined as R = {(L _(1), L _(2)) : L _(1) is perpendicular to L _(2) }. Show that R is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1,2,3} given by R = {(1,2), (2,1) is symmetric but neither reflexive nor transitive.

Define an reflexive relation.

Let A={1,2,3}. Then show that the number of relations containing (1,2) and (2,3) which are reflexive and transitive but not symmetric is three.