Question: Let A be the set of books for sale in a certain university bookstore and assume that among these are books with the following properties.
Book Price Length
U $10 100 Pages
W $25 125 Pages
X $20 150 Pages
Y $10 200 Pages
Z $5 100 Pages
(a) [BB] Suppose (a, b) ? R if and only if the price of book a is greater than or equal to the price of book b and the length of a is greater than or equal to the length of b. Is R reflexive? Symmetric? Antisymmetric? Transitive?
(b) Suppose (a, b) ? R if and only if the price of a is greater than or equal to the price of b or the length of a is greater than or equal to the length of b. Is R reflexive? Symmetric? Antisymmetric? Transitive?