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

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 relation R in the set 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.

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].

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

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} 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.

Check whether the relation R defined in the set quad {1,2,3,4,5,6} as R={(a,b):b=a+1} is reflexive,symmetric or transitive.