Determine whether Relation `R` on the set `Z` of all integer defined as `R={(x ,\ y): (x-y) =i n t e g e r}` is reflexive, symmetric or transitive.

Determine whether Relation R on the set Z of all integer defined as R={(x,y):y is divisible by x}

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.

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 relation R defined on the set Z of all integers defined as R={(x,y):x-y is an integer} is reflexive, symmertric and transtive.

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.

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.

Let R be the relation in the set Z of all integers defined by R= {(x,y):x-y is an integer}. Then R is

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].

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.

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.