May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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A-1
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) f (d) {1, 2, 3}
(e) {1, 3, 5} (f) {1, 2, 3, 5, 6}
15. P(A) = {f, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, ...
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