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 even} Show that R is an universal 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 odd}. Show that R is an empty relation 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 odd}. Show that R is an empty relations from A into B.

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={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={3,5}a n d\ B={7, 11}dot 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 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 R={(a,b):a,b inZ" and "(a-b)" is even"}. Then, show that R is an equivalence relation on Z.

Let A={1, 5), B={3, 7) and R={(a, b) :a in A, b in B and a-b is a multiple of 4}. Show that R is an empty relation from A to B.

Let R={(a,b):a,b in Z and (a-b) is divisible by 5}. Show that R is an equivalence relation on Z.