The answers to exercises marked [BB] can be found in the Back of the Book.
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) IBB] Suppose (n, b) ∈ if and only if the price of book a is greater than or equal to the price of hook b and the length of a is greater than or equal to the length of h. Is 7? reflexive? Symmetric? Antisymmetric? Transitive?
(b) Suppose (a. b) ∈ 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 reflexive? Symmetric? Antisymmetric? Transitive?
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