A relation R in the set of real numbers R defined as `R= {(a,b ) : sqrt( a) =b}`is a function or not. Justify

The relation R, in the set of real number defined as R = {(a,b): a lt b} is:

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 relations R on the set R of all 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):a<=b^(2)} is neither reflexive,nor symmetric,nor transitive.

Let R be a relation in a set N of natural numbers defined by R = {(a,b) = a is a mulatiple of b}. Then:

Check whether the relationR in the set R of real numbers defined by : R={(a,b):1+abgt0} is reflexive, symmetric or transitive.

Let a relation R_(1) on the set R of real numbers be defined as (a,b)in R hArr1+ab>0 for all a,b in R .Show that R_(1) is reflexive and symmetric but not transitive.