Let A = {2, 3, 4, 5} and B = {6, 8, 10}. A relation R is defined from A to B by a R b if a | b and (b/a)+1 is a prime. (a) Is Ra function from A to B? (b) If R is a function from A to B, then determine whether this function is one-to-one and/or onto.

Consider the relation R = {(1,1);(2,3);(3,5);(4,7)}. a. Prove that R is a function from {1,2,3,4} to {1,2,3,4;5,6,7}. b. Find a concise formula.

Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1), (3,2), (4,2)}. Find the following: а. So R b. Ro S C. S-1