`R` is a relation on the set `Z` of integers and it is given by `(x ,\ y) in RhArr|x-y|lt=1.` Then, `R` is (a) reflexive and transitive (b) reflexive and symmetric (c) symmetric and transitive (d) an equivalence relation

S is a relation over the set R of all real numbers and it is given by (a ,\ b) in ShArra bgeq0 . Then, S is symmetric and transitive only reflexive and symmetric only (c) antisymmetric relation (d) an equivalence relation

Let R be a relation defined by R={(a, b): a >= b, a, b in RR} . The relation R is (a) reflexive, symmetric and transitive (b) reflexive, transitive but not symmetric (c) symmetric, transitive but not reflexive (d) neither transitive nor reflexive but symmetric

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

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is (a) reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

Every relation which is symmetric and transitive is also reflexive.

Let R be a relation on the set of integers given by a R b :-a=2^kdotb for some integer kdot Then R is:- (a) An equivalence relation (b) Reflexive but not symmetric (c). Reflexive and transitive but not symmetric (d). Reflexive and symmetric but not transitive

Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is (a) Reflexive and symmetric (b) Transitive and symmetric (c) Equivalence (d) Reflexive, transitive but not symmetric

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

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

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