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.

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

R is the set of real numbers,If f:R rarr R is defined by f(x)=sqrt(x) then f is

Let a relation R_(1) on the set R of real numbers be defined as (a,b)in R_(11)+ab>0 for all a,b in R. show that R_(1) is reflexive and symmetric but not transitive.