January 2014
Intermediate to advanced
576 pages
12h 56m
English
Content preview from Discrete Mathematical StructuresBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Appendix
ANSWER TO EXERCISES
Chapter 1
1. (a) {1, 2, 3}
(b) {−1, 1}
(c) {3, 4, 5, 6}
(d) {−√2, √2}
(e) {−2, −1, 0, 1, 2}
2. {6, 12, 30}
3. (a) yes
(b) yes
(c) yes
(d) yes
4. The relation is true
5. (i) equal
(ii) equal
6. A = {(1, 2, 3), (1, 2, 4), (1, 3, 4), (2, 3, 4)}
7. (a) True
(b) True
8. Not true as 5 is not even
9. (a) A ∪ B = {1, 2, 3, 5, 6, 7, 8}, A ∩ B = {5}
(b) A ∪ C = {1, 2, 3, 4, 5, 6, 8}, A ∩ C = {2}
(c) B ∪ C = {2, 4, 5, 6, 7, 8}, B ∩ C = {6, 8}
10. A ∩ B = {5} = A ∩ C but B ≠ C
12. (a) {5, 6}
(b) {1, 2, 3},
(c) φ
(d) {1, 2, 3}
(e) {1, 3, 5}
(f) {1, 2, 3, 5, 6}
15. P(A) = {ϕ, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {2, 3, 4}, {1, 3, 4}, {1, 2, ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.