Let A= {1,2,3,4,5} and B= {2,4,6,8,10}. Let `R= {(a,b): a in A, b in B, " a divides "b}` be a relation from A into B. Find R. Show that domain of R is A and range of R is B.

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

Let A = {3, 5} and B = {7, 11}. Let R = {(a, b) : a in A, b in B, a-b is even} Show that R is an universal relations from A into B.

Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. Show that R is an universal relation from A to B.

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

Let ={1,2,3,4} adn R={(a,b):a in A,b in A,a divides b}. Write R explicity.

Let A = {1, 2, 3, 4}, B = {1, 3, 4, 8}. Let R = {x, y) : x in A, y in B and x divides y}. Write R in roster form.

Let A={1,2,3,4,5,6},B={2,4,6,8} Find A-B and B-A

Let A = {1, 2, 3} and R = {(a,b): a,b in A, a divides b and b divides a}. Show that R is an identity relation on A.

Let A={3,5}" and "B={7,9}. Let R={(a,b):a in A,b inB" and "(a-b)" is odd"}. Show that R is an empty relation from A to B. Hint The difference of two odd numbers cannot be odd.

Let A={(1,2,3,4,5}" and "B={1,4,5}. Let R be a relation 'is less than' from A to B. (i) List the elements of R. (ii) Find the domain, co-domain and range of R. (iii) Depict the above relation by an arrow diagram.