[" If the relation "R:A rarr B" where "A={1,2,3,4|B=|1,3,5}" is defined by "],[R={(x,y):x

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

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

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}

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

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A = {1, 2, 3,......, 13, 14} defined as R={(x,y): 3x-y=0} (ii) Relation R in the set N of natural numbers defined as R={(x,y): y=x+5 " and " x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} defined as R = {(x, y): y is divisible by x}. iv) Relation R in the set Z, of all integers defined as R = {(x, y) : x -y is an integer}.

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.

show that R is an equivaence relation R defined on the set S={1,2,3,4,5} given by R={(a,b):|a-b| is even } is an equivalence relation .

In the set of A = {1, 2, 3, 4, 5} , a relation R is defined by R = (x,y) : x, y in A, x lt y) Then R is

In the set A = {1,2,3,4,5}, a relation R is defined by R = {(x,y):x,y in A and x lt y} Then R is

In the set A = {1, 2, 3, 4, 5} , a relation R is defined by R = {(x, y) \ x, y in A and x < y} . Then R is