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

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 the relation on the set N of natural numbers defined by R={(a ,b): a+3b=12 ,a in N ,b in N}dot Find : (i) R (ii) Domain of R (iii) Range of R

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

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

Show that the relation geq on the set R of all real numbers is reflexive and transitive but not symmetric.

Show that the relation geq on the set R of all real numbers is reflexive and transitive but nut symmetric.

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 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 .