Check whether the relation R in R defined by `R={(a ,b):alt=b^3}`is reflexive, symmetric or transitive.

Check whether the relation R in R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

Check whether the relation R on R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

Show that the relation R in R defined as R={(a,b):ageb} is transitive.

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 R in R defined as R={(a,b):a<=b} is reflexive and transitive but not symmetric.

Show that the relation R on R defined as R={(a,b):a<=b} is reflexive and transitive but not symmetric.

Show that the relation R on R defined as R={(a,b):a<=b}, is reflexive and transitive but not symmetric.

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].

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):a<=b^(2)} is neither reflexive,nor symmetric,nor transitive.