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

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.

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

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

Show that the relation ' gt ' on the set R of all real numbers is transitive but it is neither reflexive nor symmetric.

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

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

Check whether the relation R in the set Z of integers defined as R={(a,b):a +b is divisible by 2} is reflexive, symmetric or transitive. Write the equivalence class containing 0 i.e. [0].

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