[" ii) "R:A rarr A,A={1,2,3,4,5,6}],[R={(x,y):y" is divisble by "x}]

Determine whether the relation R in the set A = {1,2,3,4,5,6} as R = {(x,y) : y is divisible by x} is reflexive, symmetric and transitive.

A relation R is defined on the set A = {1,2,3,4,5,6) by R = {(x,y) : y "is divisible by" x} . Verify whether R is symmetric and reflexive or not. Give reason.

If the relation R: A rarr B where A={1,2,3,4} and B={1,3,5} is defined by R={(x,y),xlty,x in A,y in B} then ROR^(-1) is

Let X={1,2,3,4,5,6,7,8,9}. Let R be a relation in X given by R_1={(x,y):x-y is divisible by 3} and R_2 another on X given by R={(x,y):(x,y)uu{1,4,7}} or {x,y} uu {2,5,8} or {x,y} uu {3,6,9}} Show that R_1=R_2.

Let R be a Relation in the set A={1,2,3,4,5,6} define as R={(x,y):y=2x-1} Is R an equivalance relation? Justify.

Let R be a Relation in the set A={1,2,3,4,5,6} define as R={(x,y):y=2x-1} Write R in roster form and find it's domain and range

The relation R : A to B where A = {2,3,4,5,6,7,} and B={1,4,} is defined by R ={ (x,y) : x gt y, x in A, y in B}

Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9} . Let R_1 be a relation in X given by R_1 = {(x, y) : x – y is divisible by 3} and R_2 be another relation on X given by R_2 = {(x, y): {x, y} sub {1, 4, 7} or {x, y} sub {2, 5, 8} or {(x, y} sub {3, 6, 9} . Show that R_1 = R_2 .

Let X={1, 2, 3, 4, 5, 6, 7, 8, 9} , Let R_1 be a relation on X given by R_1={(x , y): x-y is divisible by 3} and R_2 be another relation on X given by R_2={(x , y):{x , y}sub{1, 4, 7} or {x , y}sub{2, 5, 8} or {x , y}sub{3, 6, 9}}dot Show that R_1=R_2 .

Let X={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} , Let R_1 be a relation on X given by R_1={(x ,\ y): x-y is divisible by 3} and R_2 be another relation on X given by R_2={(x ,\ y):{x ,\ y}sub{1,\ 4,\ 7} or {x ,\ y}sub{2,\ 5,\ 8} or {x ,\ y}sub{3,\ 6,\ 9}}dot Show that R_1=R_2 .