Problem 1. Let A = {a,b,c,d} and W = {(a, b), (b, c), (c,d), (a, c), (a, d)}, where a, b, c, d are distinct. Define the relation on A by Vx, y A,xy if and only if (x, y) = W. < Is the statement xy and yz x < 2" true for arbitrary x, y, z E A? Justify your answer. 66