Give an example of a relation. Which is ...

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.

Similar Questions

Explore conceptually related problems

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

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

Give an example of a relation which is symmetric only.

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.

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

Show that the relation R in R defined R = {(a, b) : a le b} is reflexive and transitive but not symmetric.

Show that the relation R in R (Set of real numbers) is defined as R = {(a,b) : aleb} is reflexive and transitive but not symmetric.

Show that the relation R in R (set of real numbers) is defined as R= {(a,b),a<=b} is reflexive and transitive but not symmetric.

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.