Let A={3,5} and B={7,11}.Let `R={(a,b):ainA,binB,a-b` is odd}.Show that R is an empty relation from A into B.

Let A={7,8} and B={2,4,5} . Find AxxB

Let A={1,2,3,4} and B={1,4,5} be two sets. If R is the relation " Find the number of relations from A to B.

In the set of all natural numbers,let a relation defined by {(a,b):a,binN,a-b is divisible by 5} .Prove that R is an equivalence relation.

Let A = {x, y, z} and B = {a, b, c, d}. Which one of the following is not a relation from A to B?

Let A={1,2,3} , B={4,5} Find the number of relations from A to B.

Let R be a .relation from Q to Q defined by R={(a, b): a, b in Q and a-b in Z }. Show that i) (a, a) in R for all a in Q ii) (a, b) in R implies that (b, a) in R iii) (a, b) in R and (b, c) in R implies that (a, c) in R .

Let A={1 ,2,3,4,5} and B={1,2,3, ... ., 6,7} . If R be a relation from A to the set B defined by i) is square root of ii) is cube root of, find R and also its domain and range.

If A={2,4} , B={1,3,5} . Then the number of relations from A to B is …….

Let A = {x,y,z) and B = {1,2}. Find the number of relations from A to B

Show that each of the relation R in the set A={x in Z: 0 le xle12} ,given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalence relation. Find the set of all elements related to 1 in each case.