Let a relation `R_1` on the set `R` of real numbers be defined as `(a ,\ b) in R_11+a b >0` for all `a ,\ b in R` . Show that `R_1` is reflexive and symmetric but not 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 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.

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

If R is a relation on R (set of all real numbers) defined by a R b iff ageb , then R is

Let R be a relation on the set of all real numbers defined by xRy iff |x-y|leq1/2 Then R is

Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as a\ R\ b if a is congruent to b for all a ,\ b in T . Then, R is (a) reflexive but not symmetric (b) transitive but not symmetric (c) equivalence (d) none of these

Let S be the set of all points in a plane and R be a relation on S defines as R={(P,Q): distance between P and Q is less than 2 units} Show that R is reflexive and symmetric but not transitive.

Let S be the set of all points in a plane and R be a relation on S defines as R={(P,Q): distance between P and Q is less than 2 units} Show that R is reflexive and symmetric but not transitive.

Let S be a relation on the set R of all real numbers defined by S={(a ,\ b) in RxxR : a^2+b^2=1} . Prove that S is not an equivalence relation on R .

a R b iff 1+a b >0 is defined on the set of real numbers, find whether it is reflexive, symmetric or transitive.