1. Let A = {2,3,4} and B = {6, 8, 10) and define relation R from A to B as follows:
For all (x, y) E AXB,
(x, y) E R means that is an integer.
I
A. Is 4R6? Justify your answer.
B. Is (3,8) E R? Justify your answer.
C. Write R as a set of ordered pairs.
D. Write the domain and co-domain of R.
2. Let A = {2,4) and B = {1,3,5} and define relations U, V, and W from A to B as
follows: For all (x, y) E AXB,
(x,y) e U means that y - x > 2.
(x, y) € V means that y - 1 =
W = {(2,5), (4,1), (2, 3).
A. Is U a function? Justify your answer.
B. Is V a function? Justify your answer.
C. Is W a function? Justify your answer.