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

Determine whether Relation R on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6} defined as R={(x ,\ y): y is divisible by x} 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.

Determine whether Relation R on the set A={1,\ 2,\ 3,\ ,\ 13 ,\ 14} defined as R={(x ,\ y):3x-y=0} is reflexive, symmetric or transitive.

The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and 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

Is the relation R in the set A={1,2,3,4,5} defined as R={(a,b):b=a+1} reflexive ?

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.

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 R of real numbers,defined as R={(a,b):a<=b^(2)} is neither reflexive nor symmetric nor transitive.