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

If R is a relation on N (set of all natural numbers) defined by n R m iff n divides m, then R is

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

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.

Let a relation R_1 on the set R of real numbers be defined as (a , b) in R iff 1+a b >0 for all a , b in Rdot Show that R_1 is reflexive and symmetric but not transitive.

Show that the relations R on the set R of all real numbers, defined as R={(a ,\ b): alt=b^2} is neither reflexive nor symmetric nor transitive.

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

Show that the relation R in the set of real numbers, defined as R="{"(a , b")": alt=b^2}\ is neither reflexive, nor symmetric, nor transitive.

Let a relation R_1 on the set R of real numbers be defined as (a ,\ b) in R_1 1+a b >0 for all a ,\ b in R . Show that R_1 is reflexive and symmetric but not transitive.

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 An equivalence relation Reflexive but not symmetric Reflexive and transitive but nut symmetric Reflexive and symmetric but not transitive

check whether the relation R in the set N of natural numbers given by R = { (a,b) : a is divisor of b } is reflexive, symmetric or transitive. Also determine whether R is an equivalence relation